Question

1. the perimeter of a rectangle is 38 ft. find the width of the rectangle if the length is 3 ft more than the width. a. 11 feet b. 8 feet c. 5 feet d. 3 feet

Explanation:

Step1: Define variables

Let the width be $w$ ft. Then the length $l=(w + 3)$ ft.

Step2: Use perimeter formula

The perimeter formula for a rectangle is $P = 2(l+w)$. Substitute $P = 38$, $l=w + 3$ into the formula: $38=2((w + 3)+w)$.

Step3: Simplify the equation

First, simplify the expression inside the parentheses: $38=2(2w + 3)$. Then distribute the 2: $38 = 4w+6$.

Step4: Solve for $w$

Subtract 6 from both sides: $38-6=4w$, so $32 = 4w$. Divide both sides by 4: $w=\frac{32}{4}=8$.

Answer:

B. 8 feet