Question

the length of a rectangle is 3 units more than its width. which expression represents the perimeter of the rectangle, where w is the width of the rectangle? a. w + 3 b. 2w + 3 c. 2w + 6 d. 4w + 6

Explanation:

Step1: Define length in terms of width

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

Step2: Apply perimeter formula

Perimeter $P = 2(\text{length} + \text{width})$
$P = 2[(w+3) + w]$

Step3: Simplify the expression

$P = 2(2w+3) = 4w+6$

Answer:

D. $4w+6$