Question

the perimeter of a rectangle is 28 inches. if the width of the rectangle is 7 inches, what is the length?

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width. Given $P = 28$ inches and $w=7$ inches.

Step2: Substitute values into formula

$28 = 2(l + 7)$.

Step3: Solve for $l$

First, divide both sides of the equation by 2: $\frac{28}{2}=\frac{2(l + 7)}{2}$, which simplifies to $14=l + 7$. Then subtract 7 from both sides: $l=14 - 7$.

Answer:

7