Geometry: Unit 11 Test Review

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1 Geometry: Unit 11 Test Review Find the area of each of the following figures. If part of the figure is shaded, find the area of the shaded part. ssume O is the center of the circle. If it is not possible to find the area of a figure, state that fact. Y O O X O Z 1. m O = m O = mxy = 60 XZ = 20 O = O = 6 area = area = area = length of = length of = 8 12 F E 4. parallelogram 5. area = 6. EF is regular radius of circle is cm area = area (hexagon) = 7. The area of a triangle is 36 square centimeters. If the height is 6 cm, what is the length of the base? 8. Two similar triangles have a scale factor of 3:4. If the area of the smaller is 36 square inches, what is the area of the larger?

2 9. carpet dealer advertises a brand of carpet for $32.99 per square yard. How much will it cost to carpet a room that is 9 feet by 15 feet? (Use a calculator and round your answer to the nearest penny.) 8. parallelogram 11. is a square 12. = 13 = area = area = area = area = 14. area = 15. Find the area of an equilateral triangle with a side of Find the area of a square with a diagonal of 12 cm.

3 17. To contain oil spills circular booms, which trap the oil, are put in the water. One oil slick is measured to be 150 meters across in diameter. How much boom material will be needed to surround it? (Use your calculator and round your answer to 4 significant digits.) 18. triangle has vertices at (-4, 6), (5, 6), and (2, 8). Find its area. 19. trapezoid has an area of 500 square centimeters. Its altitude has a measure of 40 cm, and one of its bases has a measure of 18 cm. Find the length of the other base. 20. Find the area of a triangle if its sides have lengths of 16 inches, 17 inches, and 17 inches. 21. Find the area of a regular hexagon if its perimeter is 36 centimeters area = 23. inscribed equilateral triangle radius = 18 area of triangle = area of circle =

4 24. Find the area of a square if its perimeter is 36 inches. 25. Two similar rectangles have a scale factor of 2:5. If the area of the smaller one is 0 square centimeters, what is the area of the larger? 26. Find the area of an equilateral triangle with an apothem of 4 inches. 27. = 9 E = 3 area of ΔE = 11 cm 2 area of Δ = E 28. S is creating a gigantic, bright red stop sign (a regular octagon) to hang at the front of the entrance of the high school on prom night to remind students not to drink. They want each side of the stop sign to measure 8 feet. If one quart of red paint will cover 80 square feet, how many quarts should they buy for their project?

5 GIVE EXT NSWERS WHEN POSSILE in in 4 in 8 in radius = 7 height = 24 S = S = perimeter = 72 cm height = 16 cm diameter = 20 m height = 40 m S = square pyramid pentagonal pyramid perimeter = 40 slant height = 13 perimeter = 40 slant height = 13 S = volume =

6 35. The scale factor of two similar pyramids is 3:5. If the surface area of the larger one is 800 square inches, what is the surface area of the smaller one? 36. The play area around a swing set is 40 feet by 24 feet, and the landscaper wants to cover this area with 6 inches of bark. If the bark comes in bags that contain 3 cubic yards of bark, how many bags will he need? 37. Megan plans to make twelve conical party hats for her niece s birthday party. She wants each hat to be inches tall and the bases of each to be 26 inches in circumference. How much material will she use to make the hats? 38. The lateral area of a cone is 135π square inches. It its radius is 9 inches, find its volume. 39. blacktop driveway is to be installed such that its dimensions will be 30 feet wide, 50 feet long, and 8 inches deep. etermine its cost at $5 per cubic foot. Use your calculator and round your answers to the nearest penny.

7 40. rock is dropped into a container that is in the shape of a circular cylinder with a radius of 4 inches. If the rock causes the water to rise 3 inches, what is the volume of the rock? 41. circular patio is to have a diameter of 25 feet and will be poured to a depth of 6 inches. Find the cost of the concrete needed if concrete costs $30 per cubic yard. Use your calculator and round your answers to the nearest penny. 42. To landscape her 40 ft by 80 ft backyard Joy is planning first to put down a 4-in layer of topsoil. a) t the first place she checks she can buy bags of topsoil at $1.75 per 3-cubic foot bag with free delivery. What would be the cost of the topsoil? b) t the second place she checks she buy the topsoil in bulk for $24 per cubic yard, plus a $30 delivery charge. What would be the cost of the topsoil?

8 43. This greenhouse is designed for a home gardener. It is attached to one wall of the house, and the frame is covered with tempered safety glass. Find the surface area of the glass covering the greenhouse. 7 ft 6 ft 6 ft 2 ft

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