Question

1. 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. $2(l + w) = 30$
b. $l + w = 30$
c. $2w + 2(2w + 3) = 30$
d. $2(l - 3) + 2l = 30$

Explanation:

Step1: Define variables

Let $w$ = width of the rectangle.

Step2: Express length in terms of width

Length $l = 2w + 3$

Step3: Recall perimeter formula

Perimeter of rectangle: $P = 2l + 2w$

Step4: Substitute $l$ and $P$

Substitute $l=2w+3$ and $P=30$:
$2(2w+3) + 2w = 30$

Answer:

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