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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

Respuesta :

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

D is the correct answer.
frika

Answer:

D

Step-by-step explanation:

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

The perimeter of the rectangle is

[tex]P=2\text{ lengths}+2\text{ widths}.[/tex]

Thus, the perimeter is

[tex]P=2(5x^2+2x)+2\cdot 3x^2=10x^2+4x+6x^2=16x^2+4x.[/tex]