Question

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

Explanation:

Step1: Recall trapezoid area formula

The area of a trapezoid is given by $\text{Area} = \frac{1}{2} \times (b_1 + b_2) \times h$, where $b_1$ and $b_2$ are the lengths of the two parallel sides, and $h$ is the height.

Step2: Identify given values

Here, $b_1 = 8\ \text{cm}$, $b_2 = 16\ \text{cm}$, $h = 7\ \text{cm}$.

Step3: Substitute values into formula

$$\begin{align*} \text{Area} &= \frac{1}{2} \times (8 + 16) \times 7 \\ &= \frac{1}{2} \times 24 \times 7 \end{align*}$$

Step4: Calculate the result

$$\begin{align*} \text{Area} &= 12 \times 7 \\ &= 84 \end{align*}$$

Area uses square units, so the unit is $\text{cm}^2$.

Answer:

$84\ \text{cm}^2$