Compose a rectangle to help find the area of a trapezoid-shaped tabletop in square inches. What is the area of the tabletop?

864

648

756

882

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

To find the area of a trapezoid, we can use the formula:

Area = (1/2) x (b1 + b2) x h

Given that the trapezoid is on a tabletop, we can create a rectangle around the trapezoid to help us visualize it better. Let's assume the lengths of the rectangle are 27 inches and the width is 36 inches.

By adding the trapezoid area back to the rectangle area, we get the entire area of the tabletop:

Rectangle area = length x width = 27 x 36 = 972 square inches
Trapezoid area = 972 - 108 = 864 square inches

Therefore, the correct answer is 864.

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