25. [Perimeter] 4 2 = Measure each side length of the shape. Add together the side lengths.
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1 25. [Perimeter] Skill 25.1 Finding the perimeter of polygons by measuring their side lengths. Measure each side length of the shape. Q. Use a ruler to find the perimeter of the scalene triangle in millimetres. a) Use a ruler to find the perimeter of the square in centimetres. A Measure the side lengths. Write down the lengths next to each side Start here b) Use a ruler to find the perimeter of the rectangle in milllimetres c) Use a ruler to find the perimeter of the right-angled triangle in centimetres. d) Use a ruler to find the perimeter of the trapezium in centimetres. e) Use a ruler to find the perimeter of the parallelogram in millimetres. f) Use a ruler to find the perimeter of the polygon in millimetres. page Maths Mate 4.2/5.1 Skill Builder 25
2 Skill 25.2 Calculating the perimeter of polygons when all side lengths are given (1). Q. Calculate the perimeter of the A Start here 18 a) Calculate the perimeter of the parallelogram b) Calculate the perimeter of the kite c) Calculate the perimeter of the 2 4 d) Calculate the perimeter of the scalene triangle e) Calculate the perimeter of the 40 f) Calculate the perimeter of the trapezium page Maths Mate 4.2/5.1 Skill Builder 25
3 Skill 25.2 Calculating the perimeter of polygons when all side lengths are given (2). g) Calculate the perimeter of the parallelogram h) Calculate the perimeter of the trapezium i) Calculate the perimeter of the j) Calculate the perimeter of the k) Calculate the perimeter of the 2.5 l) Calculate the perimeter of the right-angled triangle m) Calculate the perimeter of the polygon. n) Calculate the perimeter of the polygon page Maths Mate 4.2/5.1 Skill Builder 25
4 Skill 25.3 Calculating the perimeter of polygons by recognising congruent sides. Determine and label all side lengths. Hint: Sides marked with a dash ( ) are of equal length. Sides marked with two dashes ( ) are of equal length etc. Q. Calculate the perimeter of the isosceles triangle. A isosceles triangle has 2 congruent sides label all sides a) Calculate the perimeter of the regular pentagon. b) Calculate the perimeter of the rhombus pentagon - 5 sides 5 14 c) Calculate the perimeter of the regular hexagon. d) Calculate the perimeter of the isosceles triangle e) Calculate the perimeter of the trapezium. 6.5 f) Calculate the perimeter of the parallelogram page Maths Mate 4.2/5.1 Skill Builder 25
5 Skill 25.4 Calculating the perimeter of polygons using real-life examples. Determine and label all side lengths. Hint: Sides marked with a dash ( ) are of equal length. Sides marked with two dashes ( ) are of equal length etc. Q. Calculate the perimeter of the regular octagonal table top. A a) What is the perimeter of the gymnastics floor? b) What is the perimeter of the rectangular Luxio TV screen? 12 m m 455 c) What is the perimeter of this Romanian stamp valued at 40 bani? d) What is the perimeter of the upper surface of this regular hexagonal column of basalt seen at the Giant s Causeway in Ireland? e) What is the perimeter of the rectangular ceiling of the Sistine Chapel? f) What is the perimeter of the eye of the pentagonal vortex of hurricane Isabel (2003)? 13 m 32 km 41 m m km page Maths Mate 4.2/5.1 Skill Builder 25
6 Skill 25.5 Calculating the perimeter of polygons using unit conversions. Convert all measurements to the same unit. (see skill 24.2, page 9) Determine and label all side lengths. Hint: Sides marked with a dash ( ) are of equal length. Sides marked with two dashes ( ) are of equal length etc. Q. Calculate the perimeter of the equilateral triangle in centimetres. A P to : 10 label all sides 2 a) Calculate the perimeter of the trapezoid in millimetres. 78 b) Express all measurements in centimetres and then find the perimeter of the parallelogram P c) Express all measurements in millimetres and then find the perimeter of the right-angled triangle.... P d) Calculate the perimeter of the trapezium in centimetres P e) Calculate the perimeter of the kite in millimetres.... P f) Calculate the perimeter of this polygon in centimetres P... P page Maths Mate 4.2/5.1 Skill Builder 25
7 Skill 25.6 Calculating an unknown side length when the perimeter of a polygon is given. EITHER Add together all the given side lengths. Subtract the total from the perimeter to find the unknown side length. OR Use algebra. Q. The perimeter of this regular heptagon is 140. What is the length of a side? A. If? represents the length of a side: P 140 P 7? 140 7?? 20? a) The perimeter of this right-angled triangle is 80. Find the missing side length.? b) The perimeter of this regular pentagon is 7.5. What is the length of a side? 16 34? P ? Guess? ? so? P... so?... c) The perimeter of this scalene triangle is 108. Find the missing side length. d) The perimeter of this polygon is 170. Find the missing side length.? 27? P... so? P... so?... page Maths Mate 4.2/5.1 Skill Builder 25
8 Skill 25.7 Calculating the circumference of circles (1). Substitute the known values into the formula for the circumference of a circle. Hint: You need the radius which is half the diameter. Q. Using C 2πr where π, calculate 42 A. C 2πr where d 42 and r Simplify: d r 2 a) Using C 2πr where π 3.14, calculate b) Using C 2πr where π 3.14, calculate the circumference of the circle. 1 3 C... C 2πr c) Using C 2πr where π, calculate 7 d) Using C 2πr where π, calculate C... C... page Maths Mate 4.2/5.1 Skill Builder 25
9 Skill 25.7 Calculating the circumference of circles (2). e) Using C 2πr where π 3.14, calculate f) Using C 2πr where π 3.14, calculate d r 2 d r 2 C where d 40 and r C... g) Using C 2πr where π 3.14, calculate h) Using C 2πr where π, calculate C... C... i) Using C 2πr where π, calculate 7 j) Using C 2πr where π 3.14, calculate C... C... page Maths Mate 4.2/5.1 Skill Builder 25
10 Skill 25.8 Calculating the perimeter of composite shapes. Determine and label all side lengths. Hint: Sides marked with a dash ( ) are of equal length. Sides marked with two dashes ( ) are of equal length etc. Q. Calculate the perimeter of the polygon. A OR (10 4) + (18 3) a) Calculate the perimeter of the polygon. b) Calculate the perimeter of the polygon. 4.5 Start here c) Calculate the perimeter of the polygon. d) Calculate the perimeter of the polygon e) Calculate the perimeter of the polygon. f) Calculate the perimeter of the polygon page Maths Mate 4.2/5.1 Skill Builder 25
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