Question

1. a rectangle has a length of 3 times its width. if the perimeter is 48 inches, which equation represents this situation?

a. $2w + 2l = 24$
b. $2w + 2(3w) = 48$
c. $2w + 2(3l) = 48$
d. $2w + 2l = 48$

Explanation:

Step1: Recall perimeter formula

Perimeter of rectangle: \( P = 2w + 2l \), where \( w \) is width, \( l \) is length.

Step2: Relate length to width

Given \( l = 3w \) (length is 3 times width).

Step3: Substitute into perimeter formula

Substitute \( l = 3w \) and \( P = 48 \) into \( P = 2w + 2l \):
\( 2w + 2(3w) = 48 \).

Answer:

b. \( 2w + 2(3w) = 48 \)