Question

The base of a parallelogram is 10 meters. The height is one fourth of the base. Find the area of the parallelogram.

Short answer

The area of the parallelogram is$25{\text{meters}}^2$.

Step-by-step solution

Step 1. Given information.

The base is 10 meters and height is one fourth of the given base.

Step 2. Formula used.

The formula of area of parallelogram is defined as,

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

Step 3. Calculation.

First, find the height of the parallelogram.

$\begin{array}{c}\text{height}=\frac{\text{Base}}{4}\\ =\frac{10}{4}\\ =\frac{5}{2}\text{meters}\end{array}$

Substitute the values in the area formula.

$\begin{array}{c}\text{Area}=\text{Base}\times \text{Height}\\ =10\times \frac{5}{2}\\ =25{\text{meters}}^2\end{array}$

Step 4. Conclusion.

Therefore, the area height is$25{\text{meters}}^2$.