The side lengths of a rectangle are 3x-2 and x+3. Which polynomial represents the perimeter of the rectangle?

A) 4x+1

B) 6x+2

C) 8x+2

D) 3x^2+7x-6

perimeter = 8 x + 4

Explanation:

the perimeter of a rectangle is ∙ perimeter = 2 l + 2 w

where l is the length and w the width

here

l = 3 x - 2

and

w = x + 4

⇒

perimeter = 2 (3 x - 2) + 2 (x + 4) ←

distribute

⇒

perimeter = 6 x - 4 + 2+8 ←

collect like terms

⇒

perimeter = 8 x + 4