Question

two tables, congruent trapezoids, are placed together to make a corner desk, as shown. what is the total area of the surfaces of both tables? 8 square feet 20 square feet 16 square feet 10 square feet

Explanation:

Step1: Calculate the area of one trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a\) and \(b\) are the lengths of the parallel sides, and \(h\) is the height. Here, \(a = 3\) ft, \(b=7\) ft, and \(h = 2\) ft.

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Step2: Calculate the total area of two congruent trapezoids

Since the two trapezoids are congruent, the total area \(T\) is \(T = 2A\). Substitute \(A = 10\) into the formula.

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Answer:

20 square feet