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 $A = \frac{1}{2}(b_1 + b_2)h$, 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 $b_1 = 9$ in and $b_2 = 19$ in, and the height $h = 7$ in.

Step3: Substitute values into the formula

Substitute $b_1 = 9$, $b_2 = 19$, and $h = 7$ into the formula:

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Answer:

98 square inches (or $98\ \text{in}^2$)