Question

find the area of this trapezoid. be sure to include the correct unit in your answer. if necessary, refer to the list of geometry formulas.

Explanation:

Step1: Recall trapezoid - area formula

The formula for the area of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height.

Step2: Identify the values of $b_1$, $b_2$, and $h$

In the given trapezoid, $b_1 = 9$ in, $b_2=19$ in, and $h = 7$ in.

Step3: Substitute the values into the formula

$A=\frac{(9 + 19)\times7}{2}=\frac{28\times7}{2}$.

Step4: Calculate the area

First, $28\times7 = 196$, then $\frac{196}{2}=98$ square inches.

Answer:

$98\ in^{2}$