Q60. - Algebra 1

Question

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

Step-by-Step Solution

Answer

The perimeter of the given figure is 20 inches.

Step 1. State the formula.

The formula of perimeter of a rectangle is $P=2\left(l+w\right)$, where $P$ is perimeter, $l$ is length and $w$ is width of the rectangle.

Step 2. List the given data.

The given figure is clearly a rectangle. It is also clear, from the given figure, that the length of the given rectangle is $6\text{ in.}$ and the width of the rectangle is $4\text{ in.}$

 

Then, $l=6\text{ in.}$ and $w=4\text{ in.}$

Step 3. Calculate the perimeter.

Put $l=6$ and $w=4$ in $P=2\left(l+w\right)$ to get,

$$\begin{gathered} P=2\left(6+4\right) \\ =2\left(10\right) \\ =20 \end{gathered}$$

 

So, width="48" style="max-width: none; vertical-align: -4px;" $P=20$.

Step 4. Determine the unit.

Since the units of length and width of the rectangle are given as inches, the unit of perimeter must also be inches.

 

So, the perimeter of the given figure is 20 inches.