Question

There is a rectangular pool and small border. The pool and boarder measures x+3 by x-2. The pool alone measures x+2 by x+1. what is the area of the boarder

Answer 1

-2x -8

Explanation:

The border area will be the difference between pool+border and pool. The area of each rectangle is the product of its dimensions.

(x+3)(x-2) -(x+2)(x+1) = (x^2 +x -6) -(x^2 +3x +2)

= x^2(1 -1) +x(1 -3) +(-6 -2)

= -2x -8 . . . area of border