Q61. - Algebra 1

Question

Find the perimeter of each figure. (Lesson 0-7)

Step-by-Step Solution

Answer

The perimeter of the given figure is 38 centimeters.

Step 1. State the formula.

The formula of perimeter of a parallelogram is $P=2\left(l+w\right)$, where $P$ is perimeter, $l$ and $w$ are lengths of two adjacent sides of the parallelogram.

Step 2. List the given data.

The given figure is clearly a parallelogram. It is also clear, from the given figure, that the lengths of two adjacent sides are $8\text{ cm}$ and $11\text{ cm}$.

 

Then, without loss of generality, let $l=8\text{ cm}$ and $w=11\text{ cm}$.

Step 3. Calculate the perimeter.

Put $l=8$ and $w=11$ in $P=2\left(l+w\right)$ to get,

$$\begin{gathered} P=2\left(8+11\right) \\ =2\left(19\right) \\ =38 \end{gathered}$$

 

So, $P=38$.

Step 4. Determine the unit.

Since the units of lengths of adjacent sides of the parallelogram are given as centimeter, the unit of perimeter must also be centimeter.

 

So, the perimeter of the given figure is 38 centimeters.