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find the area of the shaded region. (assume that given measurements are…

Question

find the area of the shaded region. (assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit. assume ( a = 3 mathrm{ft}, b = 6 mathrm{ft}, c = 11 mathrm{ft} ), and ( d = 14 mathrm{ft} ).)
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( mathrm{ft}^{2} )

Explanation:

Step1: Recall the formula for the area of a trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)}{2}\times d\), where \(a\) and \(b\) are the lengths of the parallel sides and \(d\) is the height (the distance between the parallel sides).

Step2: Substitute the given values into the formula

We are given \(a = 3\) ft, \(b=6\) ft, and \(d = 14\) ft. Substitute these values into the formula:

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Answer:

\(63\)