Question

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

Explanation:

Step1: Recall the formula for the area of a trapezoid

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

In this trapezoid, the two parallel sides (bases) are $5\space\text{in}$ and $14\space\text{in}$, and the height (the perpendicular side) is $12\space\text{in}$.

Step2: Substitute the values into the formula

Substitute $a = 5$, $b=14$ and $h = 12$ into the formula:

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Answer:

The area of the trapezoid is $114$ square inches.