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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} )
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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