Composite Area

1. Mason needs to purchase new glass for the window pictured here.  About how many square feet of glass will he need to purchase? 

• 20 ft²
• 13 ft²
• 26 ft²
• 41 ft²

2. The figure shows a circle inside a triangle.  Which equation could be used to find the area of the shaded region?

• A = ½bh - 2πr
• A = πr² - ½bh
• A = ½bh - πd
• A = ½bh - πr²

Tags

CCSS.7.G.B.4

3. At a restaurant, a waiter pushed 4 identical square tables together as shown in the diagram. The width of each table is 5 feet.  Which of the following methods could the waiter use to   determine the total serving area created by the 4 square tables?

• Multiply 5 by 5, then multiply the product by 4.
• Multiply 5 by 5, then multiply the product by 5.
• Add 4 plus 4, then multiply the sum by 5.
• Multiply 4 by 5, then add 4 to the product.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

4. A local restaurant places tissue-paper liners in baskets for yeast rolls like the liner pictured.
About how many square centimeters of tissue paper are needed to make one liner?

• 200.96 cm²
• 379.2 cm²
• 251.2 cm²
• 253.6 cm²

5. The model of the backboard of a basketball goal shown on your recording sheet is composed of a rectangle and a semicircle.  Use a ruler to measure the dimensions of the model to the nearest half inch.

Which measurement is closest to the area of the model of the backboard in square inches?

• 18.56 in.²
• 31.12 in.²
• 12.28 in.²
• 23.56 in.²

6. The figure shows 2 circles inside a trapezoid.
Which procedure should be used to find the area of the shaded region?

• Subtract the perimeter of the trapezoid from the area of both circles.
• Subtract the circumference of both circles from the area of the trapezoid.
• Subtract the area of the trapezoid from the area of both circles.
• Subtract the area of both circles from the area of the trapezoid.

7. Which of the following is closest to the area of the figure shown?

• 420 cm²
• 521 cm²
• 320 cm²
• 1,124 cm²

8. Ms. Robbins wants to carpet her living room floor as shown in the figure.  Carpet costs $22 per square foot and there is an installation fee of $250.  How much will it cost Ms. Robbins to carpet her living room?

• $6,600
• $6,138
• $6,850
• $6,388

9. What is the approximate area of the figure pictured?

• 3.53 cm²
• 7.07 cm²
• 5.30 cm²
• 21.20 cm²

Tags

CCSS.HSG.C.B.5

10. Which equation can be used to find the area of the composite figure shown?

• A = 8(15) + ½(15×7) + ½(9×8)
• A = 8(15) + 15(7) + 9(8)
• A = 24(8) + ½(15×7)
• A = 15(15) + ½(9×8)