Length, Perimeter & Area

Transcription

1 St Andrew s Academy Mathematics Department S BLOCK Length, Perimeter & Area

2 Name : Score : Line Segment - Ruler Centimeter: S1 Measure the length of each line segment. 1) cm ) cm 3) cm 4) cm 5) cm Draw a line segment for each measure. 6) 4 cm 7) 9 cm 8) 6 cm 9) 13 cm 10) 7 cm Printable Math 1

3 Inches and Centimeters Use a ruler to measure the objects below. inches inches inches centimeters centimeters centimeters Copyright by Education.com More worksheets at

4 Name : Score : Measuring Bars Whole Centimeter: S1 Measure the length of each bar. 1) cm ) cm 3) cm 4) cm 5) cm 6) cm 7) cm 8) cm Printable Math 3

5 Finding Metric Length Name: Find the length of each bar. Write your answer in centimeters (cm). 1) ) ) ) ) ) Answers cm cm cm cm cm cm 7. 3 cm cm 9. 7 cm cm ) ) ) ) Math

6 Measure Line Segments Name: Class: Use the ruler and measure the length of the line segments to the nearest centimeter. a b c 0 1 cm a = b = c = d e f 0 1 cm d = e = f = g h i 0 1 cm g = h = i = j k l 0 1 cm j = k = l = copyright: 5

7 Measure Ribbons Name: Class: Use the ruler and measure the length of the ribbons to the nearest centimeter.. A B C 0 1 cm Ribbon A = Ribbon B = Ribbon C = D E F 0 1 cm Ribbon D = Ribbon E = Ribbon F = G H I 0 1 cm Ribbon G = Ribbon H = Ribbon I = J K L 0 1 cm Ribbon J = Ribbon K = Ribbon L = copyright: 6

8 Length Word Problems Name: Class: Solve the following word problems. Show number sentence and your workings. 1. A car is 4 meters long and a boat is 8 meters long. How long are the car and boat altogether. A ruler is 10 inches long. What is the length of rulers 3. James is 100 centimeter tall and little Johnny is 90 centimeters tall. How much taller is James than litlle Johnny 4. A tree is 7 meters high. A giraffe is meters shorter than the tree. How tall is the giraffe 5. My pencil is 10 centimeters long. My eraser is 5 centimeters shorter than the pencil. What is their total length 6. A book is 45 centimeters long. A pen is 13 centimeters long. How much longer is the book than the pen copyright: 7

9 Length Word Problems Name: Class: Solve the following word problems. Show number sentence and your workings. 1. A helicopter is 7 meters long and an airplane is 1 meters long. How much longer is the airplane. A book is 19 centimers long. What is the length of books 3. I am 95 centimeter tall and my baby brother is 5 centimeters shorter than me. How tall is my baby brother 4. A tree is 7 meters high. A giraffe is meters shorter than the tree. How tall is the giraffe 5. I am 1 meter tall and the top of the tree I am standing under reaches 7 meters higher than me. How high is the tree 6. A long ruler is 60 centimeters long. A short ruler is 10 centimeters long. How much shorter is the short ruler than the long one copyright: 8

10 Metric Units of Length 100 centimeters or 100 cm. = 1 meter or 1 m. 1,000 m. = 1 kilometer or 1 km. Find the measurement of each item to the nearest meter to finish the sentence. 1. I am about m. tall.. The door in my house is about m. tall. 3. The living room wall is about m. wide. Find the equivalent measurement cm. = m cm. = m. 8. 1,000 cm. = m ,000 m. = km km. = m. 5. 1,000 m. = km. 7. 7,000 m. = km ,000 m. = km km. = m km. = m. Find the equivalent metric and U.S. Customary units of length for each of the following in. = about cm in. = about cm cm. = about in cm. = about in ft. = about cm cm. = about in yd. = about cm. or close to m. Copyright by Education.com 9 More worksheets at

11 Centimeters and Millimeters Name: Class: Fill in the correct numbers. 6 cm = mm 40 mm = cm 8 cm = mm 30 mm = cm 10 cm = mm 70 mm = cm 0 cm = mm 60 mm = cm 1 cm = mm 980 mm = cm 4 cm 9 mm = mm 85 mm = cm mm 9 cm 8 mm = mm 73 mm = cm mm 9 cm 14 mm = mm 9 mm = cm mm 15 cm 1 mm = mm 187 mm = cm mm 5 cm 80 mm = mm 33 mm = cm mm 17 cm 31 mm = mm 485 mm = cm mm copyright: 10

12 Centimeters and Millimeters Name: Class: Fill in the correct numbers. 1.1 cm = mm 17 mm = cm 0. cm = mm 35 mm = cm.9 cm = mm 57 mm = cm 0.8 cm = mm 11 mm = cm 6. cm = mm 374 mm = cm 3 cm 6 mm = cm.5 cm = cm mm 4 cm 8 mm = cm 5.3 cm = cm mm 4 cm 13 mm = cm 3.9 cm = cm mm 11 cm 35 mm = cm 11.8 cm = cm mm 18 cm 0 mm = cm 1.6 cm = cm mm 17 cm 1 mm = cm 3.4 cm = cm mm copyright: 11

13 Name : Score : Metric Unit Conversion - Length Centimeter/Millimeter: T1S1 Example 1 : 3.5 cm = mm Example : 1 cm = 10 mm 3.5 cm = = 35 mm 35 mm = cm 10 mm = 1 cm 35 mm = = 3.5 cm Convert the following centimeters (cm) to millimeters (mm). 1) 51.5 cm = mm ) 3.3 cm = mm 3) 41 cm = mm 4) 77 cm = mm 5) 96.6 cm = mm 6) cm = mm 7) 8.6 cm = mm 8) 6. cm = mm Convert the following millimeters (mm) to centimeters (cm). 9) 890 mm = cm 10) 48.1 mm = cm 11) 41. mm = cm 1) 364 mm = cm 13) 838 mm = cm 14) 91.3 mm = cm 15) 637 mm = cm 16) 1. mm = cm Printable Math 1

14 Meters and Centimeters Name: Class: Fill in the correct numbers. 6 m = cm 400 cm = m 8 m = cm 300 cm = m 5 m = cm 1,300 cm = m 9 m = cm 1,000 cm = m 1 m = cm 1,400 cm = m 3 m 60 cm = cm 311 cm = m cm m 7 cm = cm 05 cm = m cm 9 m 15 cm = cm 999 cm = m cm 15 m 1 cm = cm 1,111 cm = m cm m 80 cm = cm 1,650 cm = m cm 31 m 31 cm = cm 1,890 cm = m cm copyright: 13

15 Name : Score : Metric Unit Conversion - Length Meter/Centimeter: T1S1 Example 1 : 98 cm = m Example : 100 cm = 1 m 98 cm = =.98 m.98 m = 1 m = 100 cm.98 m = = 98 cm cm Convert the following centimeters (cm) to meters (m). 1) 900 cm = m ) 460 cm = m 3) 646 cm = m 4) 130 cm = m 5) 7718 cm = m 6) 976 cm = m 7) 3580 cm = m 8) 5800 cm = m Convert the following meters (m) to centimeters (cm). 9) 83.6 m = cm 10) m = cm 11) 79.1 m = cm 1) 8.64 m = cm 13) 87.9 m = cm 14) 3 m = cm 15) 3.49 m = cm 16) 5.3 m = cm Printable Math 14

16 Kilometers and Meters Name: Class: Fill in the correct numbers. 6 km = m 9,000 m = km 8 km = m 3,000 m = km 15 km = m 10,000 m = km 16 km = m 11,000 m = km 6 km = m 1,000 m = km 8 km 50 m = m 9,51 m = km m 6 km 339 m = m 6,334 m = km m 5 km 4 m = m 4,888 m = km m 10 km 900 m = m,501 m = km m 15 km 10 m = m 15,014 m = km m 14 km 3 m = m 3,00 m = km m copyright: 15

17 Kilometers and Meters Name: Class: Fill in the correct numbers. 1. km = m 3,00 m = km 0.1 km = m 1,090 m = km 1.07 km = m 10,800 m = km.5 km = m 0,900 m = km.05 km = m 0 m = km 8 km 50 m = km 9.8 km = km m 6 km 330 m = km 6.33 km = km m 4 km 40 m = km 4.08 km = km m 10 km 900 m = km.51 km = km m 15 km 10 m = km km = km m 4 km 30 m = km 3. km = km m copyright: 16

18 Name : Score : Convert - km to m Sheet 1 Example : 6.5 km = m 1 km = 1000 m 6.5 km = 6.5 x 1000 m = 6500 m Convert the following kilometers (km) to meters (m). 1) 15.5 km = m ) 8.6 km = m 3).3 km = m 4) km = m 5) 7.43 km = m 6) 56. km = m 7) 48 km = m 8) km = m 9) 3.91 km = m 10) 88.5 km = m 11) 93 km = m 1) km = m 13) 55.3 km = m 14) 97.5 km = m Printable Math 17

19 Name : Score : Length - Metric Unit Conversion T1S1 Convert between centimeters (cm) and millimeters (mm). 1) 1.7 cm = mm ) mm = cm 3) 710 mm = cm 4) 94. cm = mm 5) cm = mm 6) mm = cm Convert between meters (m) and centimeters (cm). 7) 5900 cm = m 8) 1450 cm = m 9) m = cm 10) 36.3 m = cm 11) 7630 cm = m 1) 5.4 m = cm Convert between kilometers (km) and meters (m). 13) 1 km = m 14) m = km 15) m = km 16) 78.3 km = m 17) 9.5 km = m 18) m = km Printable Math 18

20 Drawing Perimeter Name: Class: (I) Draw 3 different figures with a perimeter of 16 m. 1 m 1 m (I1) Draw 4 different figures with a perimeter of 1 m. 1 m 1 m copyright: 19

21 Perimeter Name: Class: Use the 4 figures to answer the questions. a b c d 1 m 1 m (a) What is the perimeter of figure a (b) What is the perimeter of figure b (c) What is the perimeter of figures b and d altogether (d) Which 3 figures have the same perimeter (e) You want to put up a fence around all 4 figures. If the price of doing so is 100 dollars per meter, how much would you have to pay copyright: 0

22 Finding Perimeter Name: Class: Find the perimeter of the following figures. 1 small block is 1 unit long. 14 units copyright: 1

23 ! Perimeter: On a Grid Video 4 on Workout Question 1: The following shapes are drawn on centimetre-squared paper. Find the perimeter of each shape. (a) (b) (c) (d) (e) (f) Question : The following shapes are drawn on centimetre-squared paper. Find the perimeter of each shape. (a) (b) (c) (d) (e) (f) CORBETTMATHS 016

24 Name : Score : Rectangle - Perimeter ES1 Find the perimeter of each rectangle. 1) ) 3) 5 cm 6 m 1 m 11 mm 9 cm 4 mm Perimeter = Perimeter = Perimeter = 4) 5) 6) 13 mm 1 m 10 cm 4 m 14 mm 5 cm Perimeter = Perimeter = Perimeter = 7) 8) 9) 8 mm 13 cm 5 m m 15 mm 6 cm Perimeter = Perimeter = Perimeter = Printable Math 3

25 ! Perimeter Video 41 on Examples Workout Question 1: iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Click here iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Work out the perimeter of each shape below (a) (b) (c) (d) (e) (f) Question : Find the perimeter of each of these rectangles. (a) (b) (c) (d) (e) (f) Question 3: Work out the perimeter of each of these squares (a) (b) (c) CORBETTMATHS 017 4

26 ! Perimeter Video 41 on Question 4: Work out the perimeter of each of these equilateral triangles (a) (b) (c) (d) Question 5: Calculate the perimeter of each of these isosceles triangles (a) (b) (c) Question 6: Work out the perimeter of each of these regular shapes (a) (b) (c) Question 7: Find the perimeter of each of these shapes (a) (b) (c) (d) (e) CORBETTMATHS 017 5

27 ! Perimeter Video 41 on Question 8: The perimeter of each shape is given. Find the length of the missing side (a) (b) (c) (d) (e) (f) (g) (h) (i) Apply Question 1: The square is drawn accurately Find the perimeter of the square. Question : A rectangle has a perimeter of 18cm. Write down a possible pair of values for its length and width Question 3: The triangle and square have the same perimeter. Find x Question 4: Shown is a rectangle. Work out the perimeter of the rectangle. CORBETTMATHS 017 6

28 Unknown Side Name: Class: Find the length of the unknown sides given the perimeters of the following figures. 15 cm Perimeter: 0 cm length : Perimeter: 3 cm length : Perimeter: 40 cm length : 15 cm Perimeter: 8 cm length : Perimeter: 48 cm length : Perimeter: 4 cm length : 3 m cm Perimeter: 30 cm length : Perimeter: 0 cm length : copyright: Perimeter: 16 cm length : 7

29 ! Perimeter: On a Grid Video 4 on Apply Question 1: Question : Question 3: Question 4: Question 5: Question 6: Question 7: On centimetre-square paper, draw a rectangle with a perimeter of 14cm On centimetre-square paper, draw three different rectangles with an perimeter of 18cm A square has a perimeter of 4cm. (a) Draw this square on centimetre-square paper. (b) Find the area of the square. A rectangle has an area of 1cm². (a) Draw three possible rectangles on centimetre-square paper. (b) Find the perimeter of three rectangles. A square has an area of 49cm² (a) Draw this square on centimetre-square paper. (b) Find the perimeter of the square. Draw a shape that has one line of symmetry and a perimeter of 10cm Jasmine says the perimeter of this shape is 1cm. Explain her mistake. Question 8: An equable shape is a shape where the area and perimeter of the shape have the same numerical value. The shape shown has an area of 6cm² and a perimeter of 6cm. Draw four more equable shapes. Question 9: Martin has drawn the shape below. He says it is possible to draw a shape with the same area but a larger perimeter. Show Martin is correct. CORBETTMATHS 016 8

30 Perimeter a) b) c) d) e) f) g) h) i) j) k) l) 9

31 Name : Score : Triangle - Computing Sides Sheet 1 Example: A B C Perimeter = 16 mm Perimeter = Sum of length of the sides 16 mm= mm= = 16 4 AB = = 1 3 = 4 mm BC = AC = + = 4 + = 6 mm +3 = = 7 mm 1 = 4 1 = 3 mm Find the value of and compute the length of the sides for each triangle. 1) +3 B C D ) B A +4 + C 3) P R 1 Q Perimeter = 17 m ; = Perimeter = 1 cm ; = Perimeter = 36 mm; = BC = ; CD = ; BD = AB = ; BC = ; AC = PQ = ; QR = ; PR = 4) C 5) + G 6) A +1 E + 3 D 4 E +1 F B +1 C Perimeter = 31 mm ; = Perimeter = 3 m ; = Perimeter = 58 cm; = CD = ; DE = ; CE = EF = ; FG = ; EG = AB = ; BC = ; AC = 7) B 8) R 9) G C 3 + Perimeter = 30 cm ; = D P + Q H Perimeter = 41 mm ; = Perimeter = 40 m ; = BC = ; CD = ; BD = PQ = ; QR = ; PR = GH = ; H = ; G = Printable Math 30

32 ! Perimeter Video 41 on Question 5: The length of a rectangular Pield is 60m greater than the width of the Pield. The Pield has a length of 310m. Find the perimeter of the Pield. Question 6: Felicity wants to place a wooden fence around her vegetable garden. Each metre of fencing costs 5.80 Work out the cost of the new fence Question 7: Below is a coffee table. The length of the table is 40cm more that the width of the table. The perimeter of the table is 3.8m Find the size of the length and width of the table Question 8: Shown is an equilateral triangle with side length of 8cm. Six of the triangles are put together to make a larger shape. Find the perimeter of the larger shape. Question 9: A square has an area of 36cm² Find the perimeter of the square. Question 10: Andy says that all rectangles with an area of 4cm² have the same perimeter Show that Andy is wrong. CORBETTMATHS

33 ! Perimeter Video 41 on Question 11: A rectangle is divided into two shapes, A and B (a) Which of these statements is true - The area of A is greater than the area of B - The area of A is less than the area of B - The area of A is the same as the area of B (b) Which of these statements is true - The perimeter of A is greater than the perimeter of B - The perimeter of A is less than the perimeter of B - The perimeter of A is the same as the perimeter of B Question 1: An isosceles triangle has a perimeter of 73cm An equilateral triangle has a perimeter of 51cm The triangles are put together to make a kite. Work out the perimeter of the kite. Question 13: Three congruent rectangles, are placed together to make the shape below. Find the perimeter of the shape. Question 14: ABCD is a trapezium AD is twice the length of AB BC is 3cm longer than AD DC is 19cm longer than AB The perimeter of the trapezium is 49cm Find the length of AB Answers CORBETTMATHS 017 iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Click here 3

34 Area Blocks Name: Class: Determine the area of the following figures. Each shaded block equals 1 sq. unit. 44 square units copyright: 33

35 Area Blocks Name: Class: Determine the area of the following figures. Each shaded block equals 4 sq. units. 176 square units copyright: 34

36 ! Area: On a Grid Video 43 on Examples Workout iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Click here iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Question 1: The following shapes are drawn on centimetre-squared paper. Find the area of each shape. (a) (b) (c) (d) (e) (f) Question : The following shapes are drawn on centimetre-squared paper. Find the area of each shape. (a) (b) (c) Question 3: The following shapes are drawn on centimetre-squared paper. Estimate their areas. (a) (b) (c) CORBETTMATHS

37 1) Determining Area with Partial Blocks Find the area of each shaded section. Each block is 1 square unit (u). Name: ) Answers u. 4 u u u 3) ) u u u 8. 4 u 5) ) ) ) Math

38 1) Determining Area with Full Blocks Find the area of each shaded section. Each block is 1 square unit (u ). ) Name: 3) Answers 1. 5 u. 70 u u u 4) ) ) u u u u 9. 8 u 7) ) ) u u u 10) ) ) Math

39 Finding Area whole and half Units Name: Class: Find the area of the following figures. Each stand for 1 square unit and each stands for a half square unit. 6 square units copyright: 38

40 Finding Area Name: Class: Find the area of the following figures in square units. units units 4 units 64 square units 3 units 3 units 4 units 5 units units 6 units copyright: 39

41 ! Area of a Rectangle Video 45 on Corbettmaths Examples Workout Question 1: iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Click here iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Calculate the area of each of these rectangles (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) Question : Work out the area of each of these squares (a) (b) (c) (d) Question 3: Work out the area of each of these rectangles (a) (b) (c) (d) (e) (f) (g) (h) CORBETTMATHS

42 ! Area of a Rectangle Video 45 on Corbettmaths Question 4: Work out the area of each of these rectangles. State your units for each answer. (a) (b) (c) (d) (e) (f) (g) Question 5: The area of each of these rectangles have been given. Find the length of the missing sides. (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l) CORBETTMATHS

43 Area and Perimeter Name: Class: Complete the table Length Width Area Perimeter 1 m 8 m 10 m 6 m 9 m 5 m 3 m 1 m 5 m 5 m 3 m 30 m 8 m 88 m 5 m 4 m 3 m m 15 m m 7 m 8 m 8 m 80 m 0 m m 15 m 16 m 10 m m copyright: 4

44 Area of Squares and Rectangles Name: Class: Find the area of the following squares and rectangles. 8 cm 5 cm 3 cm cm area: area: area: 9 cm 7 cm 9 cm 3 cm 4 cm area: area: area: 7 cm 10 cm 5 cm 9 cm 3 cm area: area: area: copyright: 43

45 ! Area of Compound Shapes Video 41 on Workout Question 1: Work out the area of each of these shapes. (a) (b) (c) (d) (e) (f) (g) (h) (i) Question : Work out the shaded area. (a) (b) (c) CORBETTMATHS

46 ! Area of a Rectangle Video 45 on Corbettmaths Apply Question 1: A farmer has a Nield that is 300m long and 70m wide. Calculate the area of the Nield. Question : A piece of paper has a length of 18cm and a width of 6cm. Find the area of paper. Question 3: A rectangle has an area of 30cm² Write down the length and width of three rectangles with an area of 30cm² Question 4: These two rectangles have the same area. Find the length of the second rectangle. Question 5: A rectangle has an area of 80cm² and a perimeter of 48cm. Find the length and width of the rectangle. Question 6: A rectangle has an area of 100cm² and a perimeter of 104cm. Find the length and width of the rectangle. Question 7: Mr Jenkins has a grass lawn that is 4m wide and 30m long. Mr Jenkins cuts the grass at a rate of 9m² per minute. How long will it take Mr Jenkins to cut all the grass Question 8: A football pitch is 110m long and has a perimeter of 360m. Find the area of the football pitch. Question 9: A rectangular room is 14m long and 8m wide. Jessica is going to carpet the room with carpet that costs per square metre. Work out the cost of carpeting the room. CORBETTMATHS

47 ! Area of a Rectangle Video 45 on Corbettmaths Question 10: Mr Harris is tiling his bathroom Nloor. The bathroom Nloor is a rectangle measuring 4m by m. Each tile is 0cm by 0cm. How many tiles does he need Question 11: Henry is tiling his kitchen wall. The kitchen wall is a rectangle measuring 7m by m. Each tile is 50cm by 50cm. How many tiles does he need Question 1: Mrs Rodgers is tiling her bathroom wall. The bathroom wall is 360cm long and 40cm high. Each tile is 0cm by 0cm The tiles are sold in boxes of 6. Each box costs 8. How much will it cost Mrs Rodgers to tile her bathroom wall Answers CORBETTMATHS 017 iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii Click here 46

48 Area and Perimeter Name: Class: (1) The perimeter of a square is 40 meters. Find the length of one side of the square. Answer: Perimeter = 40 m () The area of a rectangle is 80 cm. If its length is 16 cm, what is its width Answer: 16 cm Area = 80 cm (3) The area of a square is 49 mm. What is the length of each side Answer: Area = 49 mm (4) The length of a rectangle is 1 cm. What is the width if the area is 7 cm Answer: 1 cm Area = 7 cm (5) The perimeter of a rectangle is 160 cm. The rectangle is 4 times longer than wide. What are the length and width of this rectangle Answer: 4x 1x Perimeter = 160 cm copyright: 47

49 Area and Perimeter Name: Class: Find the lengths of the unkowns sides. (1) The area of a rectangle is 4 cm. If its length is 7 cm, what is its width Answer: 7 cm Area = 4 cm () The perimeter of a square is 3 meters. Find the length of one side of the square. Answer: Perimeter = 3 m (3) The length of a rectangle is 13 cm. What is the width if the area is 65 cm Answer: 13 cm Area = 65 cm (4) The area of a square is 81 mm. What is the length of each side Answer: Area = 81 mm (5) The area of a rectangle is 40 cm. If its length is 10 cm, what is its width Answer: 10 cm Area = 40 cm (6) The perimeter of a rectangle is 00 cm. The rectangle is 3 times longer than wide. What are the length and width of this rectangle Answer: 1x 3x Perimeter = 0 cm copyright: 48

50 Area and Perimeter Name: Class: Find the lengths of the unkowns sides. (1) The length of a rectangle is 10 cm. What is the width if the area is 60 cm Answer: 10 cm Area = 60 cm () The area of a rectangle is 48 cm. If its length is 1 cm, what is its width Answer: 1 cm Area = 48 cm (3) The area of a rectangle is 7 cm. If its length is 9 cm, what is its width Answer: 9 cm Area = 7 cm (4) The perimeter of a square is 40 meters. Find the length of one side of the square. Answer: Perimeter = 40 m (5) The area of a square is 64 mm. What is the length of each side Answer: Area = 64 mm (6) The perimeter of a rectangle is 60 cm. The rectangle is 5 times longer than wide. What are the length and width of this rectangle Answer: 1x 5x Perimeter = 60 cm copyright: 49

51 Finding the Area of Right Triangles with a Grid Find the area of each triangle in blocks (b). The area of a right triangle is half the area of the rectangle that would surround it. Name: In this example, the surrounding rectangle would have an area of 15 blocks (15 b ). Answers b. 15 b b 5 5 Half of 15 is 7.5 This right triangle has an area of 7.5 b b b 6. 0 b 1) ) 3) 7..5 b b 9. 8 b 4) 5) 6) 7) 8) 9) Math

52 ! Area of a Triangle Video 49 on Corbettmaths Workout Question 1: Find the area of each triangle. (a) (b) (c) (d) (e) (f) Question : Find the area of each triangle. (a) (b) (c) (d) (e) (f) Question 3: Find the area of each triangle. (a) (b) (c) (d) (e) (f) CORBETTMATHS

53 ! Area of a Triangle Video 49 on Corbettmaths Question 4: Find the area of the triangle with a base of 1cm and perpendicular height of 9cm. Question 5: Find the area of the triangle with a base of 9cm and perpendicular height of 14cm. Question 6: Find the area of the triangle with a base of 19cm and perpendicular height of 7cm. Question 7: The area of the triangle is 0cm², Lind x. Question 8: The area of the triangle is 30cm², Lind y. Question 9: The area of the triangle is 1cm², Lind z. Question 10: The area of the triangle is 56cm², Lind a. Question 11: The area of the triangle is 165cm², Lind b. CORBETTMATHS 014 5

54 ! Area of a Triangle Video 49 on Corbettmaths Apply Question 1: Shown is a square garden with a triangular pond. Find the area of the garden that is grass. Question : Shown is a triangular brick wall with a rectangular window. Find the area of the wall that is brick. Question 3: Shown is a pattern that is made from a rectangle and a triangle. Find the area of the pattern. CORBETTMATHS

55 ! Area of a Triangle Video 49 on Corbettmaths Question 4: Shown below is a triangular Lield. Each chicken requires 3m². How many chickens can be kept in this Lield Question 5: Shown below is a wall. Calculate the area of the wall. Question 6: Shown below is a logo made from a square and two triangles. Calculate the area of the logo. CORBETTMATHS

56 ! Area of Compound Shapes Video 41 on Question 3: Work out the area of each of these shapes. (a) (b) (c) (d) (e) (f) Question 4: Work out the shaded area. (a) (b) (c) Question 5: Work out the area of each of these shapes. (a) (b) (c) (d) (e) (f) CORBETTMATHS

57 ! Area of Compound Shapes Video 41 on Apply Question 1: William is painting the side of his house. He has 8 litres of paint and each litre of paint covers 16m² Does William have enough paint Question : Farmer Martin keeps chickens in the Oield below. Each chicken needs 3m². What is the maximum number of chickens that he can keep CORBETTMATHS

58 Area of Compound Shapes Name: Class: Find the area of the following compound shapes (not drawn to scale). The dashed lines are perpendicular. 4 cm 3 cm 3 cm 3 cm 9 cm 6 cm 6 cm 5 cm 3 cm 8 cm 1 cm Area: Area: Area: 4 cm 4 cm 10 cm 4 cm 10 cm 4 cm 4 cm 3 cm 4 cm 3 cm 6 cm Area: Area: Area: 4 cm 6 cm 5 cm 4 cm 8 cm 8 cm 1 cm 18 cm 6 cm Area: Area: Area: copyright: 57

59 Length of the Unknown Side Name: Class: What is the length of the unknown sides () given the perimeter of the following shapes The shapes are not drawn to scale 3 cm 3 cm 3 cm 10 cm 8 cm 3 cm 5 cm 3 cm 3 cm 1 cm 4 cm cm Perimeter: 60 cm Perimeter: 36 cm Perimeter: cm Length of : Length of : Length of : 9 cm 3 cm 9 cm 9 cm 10 cm 9 cm 3 cm 10 cm 10 cm 3 cm 4 cm cm Perimeter: 68 cm Perimeter: 8 cm Perimeter: 44 cm Length of : Length of : Length of : cm 5 cm cm 3 cm 8 cm 5 cm 3 cm 4 cm 6 cm Perimeter: 8 cm Perimeter: 4 cm Perimeter: 30 cm Length of : Length of : copyright: Length of : 58

60 Unknown Length Name: Class: Find the length of the unknown () sides of the following compound shapes (not drawn to scale) given their areas. 3 cm 9 cm 4 cm 1 cm 10 cm 8 cm 3 cm 3 cm 8 cm 4 cm cm Length of : Area: 68 cm Length of : Area: 96 cm Length of : Area: 81 cm 3 cm 6 cm 6 cm 3 cm 1 cm 3 cm 5 cm 3 cm 4 cm Length of : Area: 36 cm Length of : 7 cm Area: 64 cm Length of : Area: 36 cm 10 cm 4 cm 4 cm 10 cm 4 cm 10 cm 3 cm 6 cm 4 cm Length of : Area: 60 cm Length of : Area: 00cm copyright: Length of : Area: 68 cm 59

61 Height of Triangles Name: Class: Find the height of the following triangles (not drawn to scale). 6 cm 8 cm h 7 cm 5 cm 5 cm h 5 cm h Area: 18 cm Height: base = 6 cm Area: 6 Height: base = 3 cm cm Area: 10 cm Height: base = 5 cm 7 cm 6 cm h base = 6 cm 6 cm 7 cm h base = 5 cm 7 cm 7 cm h base = 7 cm Area: 15 cm Height: Area: 15 cm Height: Area: 1 cm Height: 6 cm h 7 cm 8 cm 8 cm 8 cm h 7 cm h Area: 10 cm Height: base = 4 cm Area: 18 cm Height: base = 6 cm Area: 8 cm Height: base = 8 cm copyright: 60

62 Area of Triangles Name: Class: Find the area of the following triangles (not drawn to scale). 5 cm 6 cm 6 cm 8 cm 7 cm 5 cm h = 5 cm base = 4 cm h = 6 cm base = 6 cm base = 5 cm h = 4 cm Area: Area: Area: 6 cm h = 6 cm 7 cm 8 cm base = 6 cm 6 cm h = 5 cm base =6 cm 9 cm 9 cm h = 8 cm base = 9 cm Area: Area: Area: 8 cm 8 cm 9 cm 7 cm h = 6 cm 6 cm 7 cm h = 7 cm h = 6 cm base = 8 cm base = 7 cm base = 5 cm Area: Area: Area: copyright: 61

63 Area of Shaded Triangles Name: Class: Calculate the area of each shaded triangle. EFGH is a square ABCD is a rectangle E F A B 10 cm 4 cm G 6 cm H D 10 cm C Area: Area: KLMN is a rectangle NOPQ is a square K 4 cm 5 cm L N O cm 4 cm 6 cm N 9 cm M Q P Area: Area: RSTU is a square DEFG is a rectangle R S D 8 cm E 8 cm 4 cm U T G cm 4 cm F Area: Area: copyright: 6

64 Area of D Shapes a) b) c) d) e) f) g) h) i) j) k) l) 63