Name: 1. Date: Period: Perimeter and Area STAAR Practice 6.8B, 6.8C, 6.8D The area of the parallelogram shown below can be 2. A triangular glass panel has an area of 48 square found by reshaping it into a rectangle with what feet. If it has a height of 8 feet, then how long is its dimensions? base? F 6 ft G 8 ft H 12 ft A length of 6 units, width of 5 units B length of 9 units, width of 5 units C length of 10 units, width of 4 units J 24 ft D length of 10 units, width of 5 units 3. When a rectangle is cut diagonally, two congruent right triangles are formed. Which expression shows how to use the area of the rectangle to find the area of one of the right triangles? 4. The dimensions of a grassy section at a park are shown. What is the area of the grassy section, in square meters? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. A B C D 5. 6•4 •6•4 12 • 4 • 12 • 4 Which equation can be used to find the area of the parallelogram? A A = 3x(x + 4) B C D A = 3x + (x + 4) A= A= 1 2 1 2 x (x + 4) [3x – (x + 4)] 6. What is the area of each of the two triangles formed from cutting a 4-foot by 4-foot square diagonally? F 4 ft 2 G 8 ft 2 H 16 ft 2 J 32 ft 2 7. By copying and rotating the triangle shown, a parallelogram results. Using what you know about the area of a parallelogram, what is the area of the original triangle? 8. Which describes the dimensions of the rectangle that can be formed from reshaping the parallelogram? F 5 2 A 10 in 8 1 2 B 11 in 4 1 2 C 20 in 4 1 2 D 21 in 4 9. Francis places a frame that is 1 -inch wide around the 2 picture shown. What is the area of the picture with the frame? 5 cm by 4 cm G 5 cm by 5 cm H 6 cm by 5 cm J 10. 6 cm by 4 cm Which shape CANNOT be cut diagonally to form two congruent triangles? F A 378.25 in2 B 380 in2 C 379.25 in2 G D 399 in2 H J 11. Which represent pairs of possible dimensions for a rectangle with an area of 18 square feet? A 2 by 12, 1 by 24 12. On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland? 1.2375 yd2 B 18 by 1, 9 by 2, 6 by 3 F C 3 by 4, 2 by 6 G 11,000 yd2 D 8 by 3, 6 by 4, 8 by 2 H 12,375 yd2 J 12,500 yd2 13. By copying and rotating trapezoid PQRS, a rectangle is formed. Use your knowledge of rectangles to determine the area of the original trapezoid, in square units. 14. On a map, Fenton County is in the shape of a parallelogram with a base length of 0.5 inch and a height of 1 inch. The scale on the map is 0.5 inch = 50 miles. Which equation can be used to find the actual area of Fenton County? F A = 0.5 • 1 G A = 25 • 50 H A = 50 • 100 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. 15. What is the area of each of the two triangles formed from cutting an 8-meter by 10-meter rectangle diagonally? A 10 m2 J 16. A = 0.5 • 50 The area of a rectangle is given by the formula A = ℓw. Which shows how to modify this formula to find the area of a parallelogram? F A = ℓw 2 B 20 m C 40 m2 D 80 m2 G A = ℓw H A = ℓw J A = 2 ℓw 17. The table shows the length and width of different rectangles. Which two rectangles have the same area? Rectangle Length (cm) Width (cm) 1 7.8 2.4 2 6.3 3.2 3 7.7 2.9 4 10.4 1.8 A Rectangles 1 and 2 B Rectangles 1 and 4 C Rectangles 2 and 3 D Rectangles 2 and 4 19. A pool rack is approximately the shape of an equilateral triangle. Which equation can be used to find the height of the triangle, if its area is 57.3 square inches? A h = 57.3 ÷ 11.5 B h = 11.5 • 3 C D h= 57.3 11.5 1 2 h = 57.3 ÷ 23 18. A mosaic tile is shown. Dan wants to cover a 600-square-inch area. How many mosaic tiles does Dan need? F 25 G 30 H 60 J 120
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