Question

what is the area of the trapezoid? 432 ft² 368 ft² 480 ft² 528 ft²

Explanation:

Step1: Recall the trapezoid area formula

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 (the distance between the parallel sides). In this case, \(a = 20\) ft, \(b=16\) ft, and \(h = 24\) ft.

Step2: Substitute the values into the formula

Substitute \(a = 20\), \(b = 16\), and \(h=24\) into the formula: \(A=\frac{(20 + 16)\times24}{2}\). First, calculate the sum of the parallel sides: \(20+16 = 36\). Then multiply by the height: \(36\times24=864\). Finally, divide by 2: \(\frac{864}{2}=432\).

Answer:

\(432\space ft^{2}\)