Ch 11 Pre-HS Area SOLs 50 Points Name:

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1 1. Each small square on the grid is 1 square unit. How many square units are needed to make the shaded figure shown on the grid? A) 5 B) 7 C) 10 D) Each small square on the grid is 1 square unit. How many square units are needed to make the shaded figure? A) 10 B) 11 C) 12 D) The picture shows a rectangular garden Jerri and Samantha are planning for their science project. What is the perimeter of the garden? A) 108 ft B) 48 ft C) 24 ft D) 12 ft 4. What is the area of a rectangle that measures 9 centimeters long and 6 centimeters wide? A) 15 cm 2 B) 27 cm 2 C) 30 cm 2 D) 54 cm 2

2 5. The area of the field shown in the picture is A) square inches B) pounds C) square yards D) meters 6. Which figure has an area of 8 and a perimeter of 12? A) C) B) D) 7. What is the area of the rectangular poster shown below? A) 50 sq in B) 80 sq in C) 100 sq in D) 600 sq in 8. Which of the following describes a figure that has an area of 28 square centimeters? A) A rectangle with length of 9 centimeters and width of 5 centimeters B) A rectangle with length of 7 centimeters and width of 4 centimeters C) A square with length of 7 centimeters and width of 7 centimeters D) A triangle that has 2 sides 10 centimeters long and 1 side 8 centimeters long. 9. What is the area of a rectangle that measures 4 meters wide and 6 meters long? A) 10 m² B) 20 m² C) 24 m² D) 100 m²

3 10. Which figure has an area of 20 square units and a perimeter of 18 units? A) C) B) D) 11. Lou is making a pizza that has a radius of 9 inches. Which is closest to the area of the pizza? A) 1, sq in. B) sq in. C) sq in. D) sq in. 12. Casey and her friends went to the library to work on their social studies project. They pushed the two tables pictured together. What will be the total area of the top of the two tables when they are pushed together? A) 18 square feet B) 24 square feet C) 36 square feet D) 48 square feet 13. What is the minimum number of same-sized triangles as the one on the left that would be required to form the polygon below on the right? A) 3 B) 4 C) 6 D) 8

4 14. Bob wants to paint a rectangular wall that measures 16 feet by 9 feet. The wall contains a window with the dimensions shown. If Bob does not paint the window, what is the total shaded area he will paint? A) 144 sq ft B) 104 sq ft C) 50 sq ft D) 40 sq ft 15. Logan needs to order a cover for his swimming pool. The circular swimming pool has a radius of 17 feet. Which is closest to the number of square feet needed to completely cover the pool? A) B) 289 C) D) 1, What is the area of the large rectangle shown if each small square is 4 inches wide and 4 inches long? A) 480 sq in. B) 120 sq in. C) 80 sq in. D) 30 sq in.

5 17. Point M is the center of the circle shown. Point N lies on circle M. Which is closest to the area of the circle? A) 66 cm 2 B) 132 cm 2 C) 1,386 cm 2 D) 5,544 cm Andrea is buying a rectangular rug that is 3 feet wide and 4 feet long. What is the total area that the rug will cover? A) 12 sq ft B) 14 sq ft C) 24 sq ft D) 28 sq ft 19. Travis is making a wall hanging out of different colors of glass. The shape of the wall hanging is shown on the grid below. Which is closest to the total amount of glass needed to make the wall hanging? A) 28 sq units B) 34 sq units C) 36 sq units D) 40 sq units

6 20. Pablo has a large, circular rug on his square-shaped bedroom floor. If the diameter of the rug is equal to the length of the bedroom floor, which is closest to the area of the rug? A) 38 sq ft B) 75 sq ft C) 113 sq ft D) 144 sq ft 21. What is the area of the parallelogram shown? A) 185 sq ft B) 230 sq ft C) 2,600 sq ft D) 3,250 sq ft 22. Susan has a rectangular garden that measures 20 feet by 10 feet. What is the least amount of fencing that she needs to buy in order to enclose the garden? A) 30 feet B) 60 feet C) 80 feet D) 200 feet 23. Su Li wants to place a protective covering over a rectangular flower bed that measures 3.2 meters by 4.3 meters. How many square meters of covering will she need? A) 7.5 B) C) 15.0 D) 27.52

7 24. Katie is going to carpet her living room floor and drew the diagram shown. What is the minimum number of square feet of carpet she will need? A) 51 sq ft B) 60 sq ft C) 194 sq ft D) 244 sq ft 25. What is the total area of the figure shown? A) 42 sq ft B) 84 sq ft C) 135 sq ft D) 168 sq ft 26. A circular plate has a radius of 7 inches. Which is closest to the area of the plate? A) 39 sq in. B) 44 sq in. C) 138 sq in. D) 154 sq in. 27. A grid is placed over a cross-sectional drawing of a molding. Each square of the grid represents one square centimeter. How many square centimeters are contained in the area of the cross section? A) 44 B) 96 C) 108 D) 208

8 28. LaRue is going to put fertilizer on a rectangular field that measures 124 meters by 234 meters. How many square meters will she have to fertilize? A) 358 m 2 B) 716 m 2 C) 27,776 m 2 D) 29,016 m In this scale drawing of a molding, each square represents 1 square inch. What is the area of the molding? A) 24 sq in. B) 34 sq in. C) 35 sq in. D) 37 sq in. 30. If Gina measured the length of all 4 sides of the top of her desk and added them together, what would she have? A) The diameter B) The volume C) The perimeter D) The area 31. Marta painted an 18-foot by 12-foot rectangular wall. What is the area of the wall she painted? A) 423 sq ft B) 216 sq ft C) 60 sq ft D) 30 sq ft 32. In this scale drawing, each square unit represents 1 square centimeter. What is the area of the figure represented by the drawing? A) 15 cm 2 B) 20 cm 2 C) 32 cm 2 D) 47 cm 2

9 33. What is the area of this figure? A) 19 cm 2 B) 24 cm 2 C) 27 cm 2 D) 35 cm 2

10 Chapter 11 Notes Discovery (25 Points): Fill in the formulas: Figure Parallelogram A = Triangle A = Trapezoid A = Rhombus A = Kite Regular Polygon A = Circle A = Area Formula Figure Parallelogram Define the Variables Needed in the above Formulas Triangle Trapezoid Rhombus Kite Regular Polygon Circle Postulate 11.2 The area of a region is the of all of its parts.

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