Question

Write a polynomial expression for the perimeter of a rectangle whose sides have the following lengths. Length: x2+3x-5 Width: 3x2-2x+6 A. 8x2+8x+2 B.8x2+2x+2 C.4x2+x+1 D. 4x2-5x+1

Answer 1

Answer:

Option B

Step-by-step explanation:

we know that

The perimeter of a rectangle is equal to

$P=2(L+w)$

where

L is the length of rectangle

W is the width of rectangle

In this problem we have

$L=(x^{2}+3x-5)\ units$

$W=(3x^{2}-2x+6)\ units$  

substitute

$P=2((x^{2}+3x-5)+(3x^{2}-2x+6))$

Combine like terms

$P=2(4x^{2}+x+1)$

$P=(8x^{2}+2x+2)\ units$