Question

the length of a rectangle is 3 inches more than twice its width. if the perimeter of the rectangle is 30 inches, which equation represents this situation?

a. $2(l - 3) + 2l = 30$

b. $2(l + w) = 30$

c. $l + w = 30$

d. $2w + 2(2w + 3) = 30$

Explanation:

Step1: Define variables

Let width = $w$, length = $2w + 3$

Step2: Use perimeter formula

Perimeter = $2(\text{length} + \text{width})$

Step3: Substitute values

$2[(2w + 3) + w] = 30$ → $2(2w + 3) + 2w = 30$

Answer:

d. $2w + 2(2w + 3) = 30$