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

Option B

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`