Question

which of the following represents the total area of the figure? 44 ft² 400 ft² 440 ft² 484 ft²

Explanation:

Step1: Divide the figure

Divide the figure into a parallelogram and a trapezoid.

Step2: Calculate the area of the parallelogram

The formula for the area of a parallelogram is \(A = base\times height\). Here, \(base = 8\) ft and \(height=22\) ft. So, \(A_{1}=8\times22 = 176\) \(ft^{2}\).

Step3: Calculate the area of the trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a = 16\) ft, \(b=(16 - 8+4)=12\) ft, and \(h = 22\) ft.

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Step4: Calculate the total area

\(A=A_{1}+A_{2}=176 + 224=400\) \(ft^{2}\)

Answer:

\(400\space ft^{2}\)