Question

The height of a parallelogram is 22 inches. The base is one half of the height. Find the area of the parallelogram.

Short answer

The area of the parallelogram is$242{\text{inches}}^2$.

Step-by-step solution

Step 1. Given Information.

The height of the parallelogram is 22 inches and the base is one half of the height.

Step 2. Formula used.

The area of the parallelogram is defined as,

$\text{Area}=\text{Base}\times \text{Height}$

Step 3. Calculation.

First calculate the base by using the height.

$\begin{array}{c}\text{Base}=\frac{\text{Height}}{2}\\ =\frac{22}{2}\\ =11\text{inches}\end{array}$

Now, find the area of parallelogram.

$\begin{array}{c}\text{Area}=\text{Base}\times \text{Height}\\ =11\times 22\\ =242{\text{inches}}^2\end{array}$

Thus, the area is ${\text{242 inches}}^2$.