Question

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

Explanation:

Step1: Define variables

Let width = $w$ meters. Length = $2w - 5$ meters.

Step2: Use perimeter formula

Perimeter = $2×width + 2×length$. Substitute values: $2w + 2(2w -5) = 42$.

Step3: Match with options

The equation matches option b.

Answer:

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