Question

If the perimeter of a rectangle is 26x^2+16x+10 and the length is 8x^2+6x+4, what is the width?

Answer 1

Here is the set up:

P = 2L + 2W

P = 2(26x^2+16x+10) + 2(8x^2+6x+4)

Simplify the right side to find P.

Answer 2

5x^2 + 14x + 9

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.