The width of a rectangle is 8x 1 feet and the length is 5x

The width of a rectangle is 8x - 1 feet and the length is 5x + 6 feet. Write a polynomial that represents the perimeter. Choose the polynomial that represents the perimeter.

Solution

Width of rectangle, w = 8x-1

Length of rectangle, l = 5x+6

Perimeter

= 2( l+w)

= 2(5x+6+8x-1)

= 2(13x+5) (combined like terms)

= 26x + 10 feet (distributed 2)