Question

1. the length of a rectangle is 5 meters less than twice its width. if the perimeter is 42 meters, which equation represents this situation?

a. $2w + 2(2w - 5) = 42$

b. $2w - 2(2w + 5) = 42$

c. $2w + 2w - 5 = 42$

d. $2w + 2(2w + 5) = 42$

Explanation:

Step1: Define variables

Let width = $w$, length = $2w - 5$

Step2: Use perimeter formula

Perimeter = $2(width + length) = 2(w + (2w - 5))$

Step3: Simplify equation

$2w + 2(2w - 5) = 42$

Answer:

a. $2w + 2(2w - 5) = 42$