Question

a builder plans to put two decorative windows near the roof of a house. sketches of the windows are shown. both windows are congruent. what is the combined area of the two windows? 9 square feet 18 square feet 12 square feet 6 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, \(a = 1\) ft, \(b=3\) ft, and \(h = 3\) ft.

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Step2: Calculate the combined area of two congruent trapezoids

Since the two windows are congruent (have the same area), the combined area \(A_{total}=2\times A\). Substitute \(A = 6\) into the formula.

$$ A_{total}=2\times6 = 12\text{ square feet} $$

Answer:

12 square feet