#2. Rhombus ABCD has an area of 464 square units. If DB = 18 units, find AC. #3. What is the area of the shaded sector if the measure of <ABC is 80?

Transcription

1 1 Pre-AP Geometry Chapter 12 Test Review Standards/Goals: F.1.a.: I can find the perimeter and area of common plane figures, such as: triangles, quadrilaterals, regular polygons, and irregular figures, from given information using appropriate units of measurement. F.1.b.: I can manipulate perimeter and area formulas to solve problems. F.1.c.: I can find the area of a circle and the area of a sector of a circle from given information. Review Standards: G.SRT.5./ E.1.c.: I can identify similar figures and use ratios and proportions to solve mathematical and real-world problems. E.1.d.: I can use the definition of similarity to establish the congruence of angles, proportionality of sides, and scale factor of two similar polygons. #1. Find the area of parallelogram ABCD to the nearest tenth. #2. Rhombus ABCD has an area of 464 square units. If DB = 18 units, find AC. #3. What is the area of the shaded sector if the measure of <ABC is 80? #4. Find the area of the trapezoid. The bases are 10 and 17 feet respectively and the height is 7 feet. Round to the nearest tenth. #5. Find the area of the kite. Round to the nearest tenth.

2 2 #6. A trapezoid has an area of square inches, height 16 inches, and one base of 30 inches. What is the length of the other base? #7. The figure shown is a REGULAR hexagon with radii and an apothem drawn. a. What is m<1? b. What is m<2? #8. The area of the trapezoid is 100 centimeters squared. The perimeter is 60 cm. What is the height, to the nearest hundredth, of the trapezoid? #9. The diagonal of a square measures 18 inches. What is the area, in square inches? #10. A large pizza has a 18 inch diameter and a medium pizza has a 11 inch diameter. To the nearest hundredth, how many MORE square inches of pizza does a customer get with a large than with a medium? #11. The classroom, represented in the figure, needs new tile. Find the minimum square feet of tile needed to cover the area of the classroom.

3 3 #12. What is the area of a circle with a diameter of 26 inches? #13. The pentagon s shown are similar. Side length of A = 3 cm; Side length of B = 9 cm a. What is the ratio of the perimeters? b. What is the ratio of the areas? c. What is the ratio of the volumes? #14. It costs $550 to carpet an 6 ft by 10 ft room. At this rate, how many dollars would it cost to put the same carpeting in a 22 foot by 30 foot room? #15. Find the area of the kite. Round to the nearest tenth.

4 4 #16. Find the area of quadrilateral ABCD if AC = 9. Round to the nearest tenth. #17. The Smith family is planning to re-carpet part of the first floor of their house. Find the amount of carpeting needed to cover the living room, den, and hall. #18. The Wilson family is planning to have new carpet installed in their guest bedroom, family room, and hallway. Find the number of square yards of carpet they should order.

5 5 A bakery has a 50 foot by 31 foot parking lot. The four parking spaces are congruent parallelograms, the driving region is a rectangle, and the two areas for flowers are congruent triangles. Round answers to the nearest tenth, if necessary. #19. Find the area of the FOUR parking spaces only. #20. Find the area of the entire paved surface. Find the area of each figure based on the graph shown. (NOTE: unit of measurement should simply be units.) Round answers to the nearest tenth. #21. Parallelogram ABJF #22. ΔBDJ #23. ΔDKJ #24. Parallelogram BDKJ #25. Parallelogram ADKF #26. ΔBDJ #27. Trapezoid ADJF

6 6 #28. The end of a gold bar has the shape of a trapezoid with the measurements shown. Find the area of the end. Find the area of quadrilateral QRST. Round answers to the nearest tenth. #29. #30. #31. #32. #33. #34.

7 7 #35. Rachel has bought a house that needs to be remodeled partially. a. She plans to put hardwood flooring in the family room and in the hallway next to the kitchen. How much hardwood will she need to put in those areas? b. If hardwood costs $30.50 per square foot to lay, how much will it cost? c. She plans to put new carpet in the guest bedroom. How much carpet will Rachel need to purchase? d. Suppose carpet costs $6.75 per square foot, how much will it cost to re-carpet the guest bedroom? e. Suppose Rachel plans to put new linoleum on the kitchen. How much linoleum will she need to purchase? f. Suppose linoleum costs $3.50 per square foot to purchase. How much will it cost to redo the kitchen? g. What is the total cost of remodeling that Rachel should estimate to have to pay for these improvements?

8 8 #37. The figure below consists of a square and 2 semicircles, with dimensions as shown. What is the outside perimeter, in centimeters, of the figure? #38. Find the area of the figure shown: #39. Jake needs to lay sod in the triangular area shown. To the nearest square meter, how much sod would he need? Show your work and explain how you found your answer.