Question

steven bought a new rug for his bedroom. the perimeter of the rug is 30 feet and the length is 8 feet. what is the width of his new rug? picture: image of a rectangle with length labeled 8 equation: __________ solution: __________

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $P$ is perimeter, $l$ is length and $w$ is width. Given $P = 30$ feet and $l=8$ feet. Substitute into the formula: $30 = 2(8 + w)$.

Step2: Solve for width

First, divide both sides of the equation $30 = 2(8 + w)$ by 2: $\frac{30}{2}=\frac{2(8 + w)}{2}$, which simplifies to $15=8 + w$. Then subtract 8 from both sides: $w=15 - 8$.

Answer:

7 feet