Question

SOMEONE PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!!!!!

The length, in feet, of a rectangular rug is represented by the expression 5x² + 2x. The width, in feet, is represented by the expression 3x².

Which expression represents the perimeter, in feet, of the rug?

A. 8x² + 2x
B. 8x² + 4x
C. 16x² + 2x
D. 16x² + 4x

Answer 1

2(5x^2+2x)+2(3x^2)
10x^2+4x+6x^2
16x^2+4x

D is the correct answer.

Answer 2

Answer:

D

Step-by-step explanation:

The length, in feet, of a rectangular rug is represented by the expression $5x^2 + 2x.$. The width, in feet, is represented by the expression $3x^2.$

The perimeter of the rectangle is

$P=2\text{ lengths}+2\text{ widths}.$

Thus, the perimeter is

$P=2(5x^2+2x)+2\cdot 3x^2=10x^2+4x+6x^2=16x^2+4x.$