Q8. - Algebra 1

Question

Find the perimeter of each figure.

A parallelogram with side lengths $\mathbf{6}\frac{\mathbf{1}}{\mathbf{4}}$ inches and 5 inches.

Step-by-Step Solution

Answer

The perimeter of the parallelogram with side lengths $6\frac{1}{4}\mathrm{inches}$ and 5 inches is 22.5 inches.

Step 1. Given information.

A parallelogram with the side lengths $6\frac{1}{4}\mathrm{inches}$ and 5 inches.

Step 2. Perimeter of a parallelogram.

The perimeter of a parallelogram with sides a and b is denoted by $P=2\left(a+b\right)$.

Step 3. Calculations.

$$\begin{gathered} P=2\left(6\frac{1}{4}+5\right) \\ =2\left(\frac{25}{4}+5\right) \\ =2\left(6.25+5\right) \\ =2\left(11.25\right) \\ =22.5 \end{gathered}$$

Thus, the perimeter of the parallelogram with side lengths $6\frac{1}{4}\mathrm{inches}$ and 5 inches is 22.5 inches.