Question

find the area of this trapezoid. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall trapezoid area formula

The formula for the area of a trapezoid is \( A=\frac{(b_1 + b_2)}{2}\times h \), where \( b_1 \) and \( b_2 \) are the lengths of the two parallel sides (bases), and \( h \) is the height (the perpendicular distance between the bases).

Step2: Identify \( b_1 \), \( b_2 \), and \( h \)

From the diagram, the two parallel sides (bases) are \( b_1 = 19\) in and \( b_2 = 9\) in, and the height \( h = 7\) in (the perpendicular distance between the two bases).

Step3: Substitute values into the formula

Substitute \( b_1 = 19 \), \( b_2 = 9 \), and \( h = 7 \) into the formula:

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Answer:

The area of the trapezoid is \( 98 \) square inches (or \( 98\ \text{in}^2 \)).