Question

1. the perimeter of a rectangle is 40 feet. if the length of one side is 12 feet, how wide is the rectangle?

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.

Step2: Substitute known values

We know $P = 40$ and assume $l=12$. Substituting into the formula gives $40 = 2(12 + w)$.

Step3: Solve for width

First, divide both sides of the equation by 2: $\frac{40}{2}=\frac{2(12 + w)}{2}$, which simplifies to $20=12 + w$. Then subtract 12 from both sides: $w=20 - 12$.

Answer:

8 feet