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find the area of the shape. the area is (type a whole number or a decim…

Question

find the area of the shape.
the area is
(type a whole number or a decimal)

Explanation:

Step1: Find the length of the lower base of the trapezoid

The lower base \(b_2 = 16-(16 - 9 - 2)=9 + 2=11\) in (This step is wrong, actually, for a trapezoid, the formula uses the two parallel sides directly. Let's use the trapezoid area formula \(A=\frac{(a + b)h}{2}\) where \(a = 9\), \(b=16\), \(h = 7\))

Step2: Apply the trapezoid area formula

The area formula of a trapezoid is \(A=\frac{(a + b)h}{2}\), substituting \(a = 9\), \(b = 16\), \(h=7\) into the formula:

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Answer:

\(87.5\)