Composite Area Hard Ones

Which of the following equations could NOT be used to find the area of the figure shown?

• = 10(15) - 3.75(2.5)(5)

• = 15(10) - 2.5(5) - 3.75(5)

• = 15(10) - [2.5(5) + 3.75(5)]

• = 2(10)(5) + 5(3.75)

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

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

• = ½bh - 2πr

• = πr² - ½bh

• = ½bh - πd

• = ½bh - πr²

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.

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

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

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.

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

• 420 cm²

• 521 cm²

• 320 cm²

• 1,124 cm²

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

What is the approximate area of the figure pictured?

• 3.53 cm²

• 7.07 cm²

• 5.30 cm²

• 21.20 cm²