Perimeter and area Test Find the area. A 182 cm 2 B 195 cm 2 C 210 cm 2 D 58 cm 2. 2 Find the area. A 28 yd 2 B 14 yd 2 C 27 yd 2 D 35 yd 2
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1 Name: ate: 1 Find the area. 182 cm cm cm 2 58 cm 2 2 Find the area. 28 yd 2 14 yd 2 27 yd 2 35 yd 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 1 of 18
2 3 Find the area. 27 in in in in. 2 4 Find the area. 24 mi 2 20 mi 2 16 mi 2 8 mi 2 5 Find the area. 10 cm 2 40 cm 2 20 cm 2 9 cm 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 2 of 18
3 6 Find the area. 7 Find the area in in in in. 2 8 Find the area. 44 yd yd 2 15 yd 2 22 yd 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 3 of 18
4 9 triangle is drawn in a square, as shown below. What is the area of the shaded region? If necessary, round to the nearest tenth square miles square miles square miles 1,296.0 square miles 10 farmer has 37 m of fencing to make a corral. side of a barn will be used as one side. What dimensions give the corral the greatest possible area? 13.5 m by 11.8 m 20.5 m by 8.3 m 24.7 m by 12.3 m 18.5 m by 9.25 m 11 Suppose you want to enclose a garden with 26 m of fencing. If the back of the garden is enclosed by a stone wall, 20 m long, what size rectangle would maximize the area of the garden? 20 m by 3 m 13 m by 6.5 m 17.3 m by 8.7 m 8.7 m by 8.7 m 12 The perimeter of a rectangle is 48 ft and the base is 15 ft. What is its area? 24 ft ft 2 48 ft ft 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 4 of 18
5 13 What is the area of the equilateral triangle below? 72 square centimeters 144 square centimeters square centimeters square centimeters 14 When designing a building, you must be sure that the building can withstand hurricaneforce winds, which have a velocity of 73 mi/h or more. The formula below gives the force F in pounds exerted by a wind blowing against a flat surface. is the area of the surface in square feet, and v is the wind velocity in miles per hour. How much force is exerted by a wind blowing at 81 mi/h against the side of the building shown? Round to the nearest ton. about 54 tons about 5 tons about 10,826 tons about 28 tons 15 You are designing a garden next to a wall of a house. What is the maximum area of the garden if it has a curved edge that is 20 yards long? 20 yd yd 2 10 yd yd 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 5 of 18
6 16 You want to build a pig pen with 4 sides. What is the largest area you can enclose with 20 yards of fencing? 6.3 yd 2 50 yd 2 25 yd 2 20 yd 2 17 Find the value of h in the parallelogram. Not drawn to scale parallelogram has sides 19.5 m and 40.5 m. The height corresponding to the 19.5-m base is 8.1 m. Find the height, to the nearest tenth of a meter, corresponding to the 40.5-m base. 3.9 m 16.8 m 6397 m none of these 19 Find the area of a parallelogram with the given vertices. P(1, 3), Q(3, 3), R(7, 8), S(9, 8) 10 units 2 5 units 2 20 units 2 none of these opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 6 of 18
7 20 The area of a parallelogram is 420 cm 2 and the height is 35 cm. Find the corresponding base. 385 cm 455 cm 14,700 cm 2 12 cm 21 Find the area. The figure is not drawn to scale. 30 yd yd 2 13 yd 2 15 yd 2 22 Find the area. The figure is not drawn to scale cm cm cm 2 50 cm 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 7 of 18
8 23 Find the area. The figure is not drawn to scale. 188 in in in. 2 none of these 24 Find the area. 55 cm 2 80 cm 2 48 cm 2 40 cm 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 8 of 18
9 25 Quadrilateral is a kite. What is the area of the kite? If necessary, round to the nearest tenth In trapezoid PQRS,. Find the area of PQRS. Leave your answer in simplest radical form. opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 9 of 18
10 27 Find the area. 440 mm 2 90 mm mm mm 2 28 Find the area of the rhombus. Leave your answer in simplest radical form. 29 kite has diagonals 9.2 ft and 8 ft. What is the area of the kite? 36.8 ft ft ft ft 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 10 of 18
11 30 Find the area of the rhombus. 12 m m m 2 32 m 2 31 Find the area of the isosceles trapezoid. Leave your answer in simplest radical form. 49 cm cm 2 cm 56 cm 2 32 Find the area. The figure is not drawn to scale in in in in. 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 11 of 18
12 33 Find the area of the trapezoid. The dashed line is perpendicular with the base. The figure is not drawn to scale in in in in n isosceles triangle has area of 110 ft 2. If the base is 14 ft, what is the length of the legs? Round your answer to the nearest tenth. 21 ft 17.2 ft 14.8 ft ft 35 Find the area of the regular polygon. Give the answer to the nearest tenth. pentagon with side 10 cm cm cm cm cm 2 36 Find the area of the regular polygon. Give the answer to the nearest tenth. hexagon with side 8 yd yd 2 12 yd yd yd 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 12 of 18
13 37 Find the area of the regular polygon. Give the answer to the nearest tenth. decagon with side 4 cm cm cm cm cm 2 38 Find the area of the regular polygon. Give the answer to the nearest tenth. dodecagon with perimeter 108 cm cm cm cm cm 2 39 Find the area of the regular polygon. Give the answer to the nearest tenth. pentagon with radius 8 m m m m m 2 40 Find the area of the regular polygon. Give the answer to the nearest tenth. square with radius 16 ft 520 ft ft ft ft 2 41 Find the area of the regular polygon. Give the answer to the nearest tenth. hexagon with radius 5 in in in in in. 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 13 of 18
14 42 The Ruffs are planning to buy an above-ground swimming pool shaped as a regular octagon. The radius of the octagon is 9 feet. Estimate the area of the surface of the water in the pool. 460 ft ft 2 95 ft ft 2 43 Find the area of the triangle. Give the answer to the nearest tenth. The drawing is not to scale m m m m 2 44 gardener needs to cultivate a triangular plot of land. One angle of the garden is 47 degrees, and two sides adjacent to the angle are 77 feet and 76 feet. To the nearest tenth, what is the area of the plot of land? ft ft ft ft 2 45 park in a subdivision is triangular-shaped. Two adjacent sides of the park are 573 feet and 536 feet. The angle between the sides is 58 degrees. To the nearest unit, find the area of the park in square yards. 32,557 yd 2 14,470 yd 2 28,940 yd 2 43,410 yd 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 14 of 18
15 46 ivers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35 degrees. To the nearest hundredth, find the search area mi mi mi mi 2 47 Two triangles each have adjacent sides of length 120 feet and 180 feet. The first triangle has an angle between the two sides of 40 degrees, while the second triangle has an angle between the two sides of 60 degrees. What is the approximate difference between the areas of the two triangles? 4822 ft ft ft ft 2 48 The length of the apothem of a regular octagon is 4. What is the area of the octagon? Round to the nearest whole number park in a subdivision is triangular-shaped. Two adjacent sides of the park are 573 feet and 536 feet. The angle between the sides is 58. To the nearest unit, find the area of the park in square yards. 32,557 yd 2 14,470 yd 2 28,940 yd 2 43,410 yd 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 15 of 18
16 50 Find the area of the triangle. Give the answer to the nearest tenth cm cm cm cm 2 51 Find the approximate area of the triangle. Then choose an equation that you could use to find b. 3,790; 5,100; 1,895; 1,895; opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 16 of 18
17 52 If angle is about 34, what is the approximate area of the triangle? In, j = 9 in., k = 5 in., and = 43. What is the approximate measure of? Suppose the area of a trapezoid is 126 yd 2. If the bases of the trapezoid are 17 yd and 11 yd long, what is the height? 4.5 yd 9 yd 2.25 yd 18 yd opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 17 of 18
18 55 What is the area of kite QRST? If necessary, round to the nearest tenth ft ft ft ft 2 opyright Pearson Education, Inc. or its affiliates. ll Rights Reserved. Page 18 of 18
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