Question

Find the length and width of the rectangle if the area is 9 m square, the width is (x-3) and the length is (x+5). Recall the formula for area of a rectangle is Area = LW.

Answer 1

9 = (x - 3)(x + 5)
9 = x^2 + 2x - 15
0 = x^2 + 2x - 24
0 = (x + 6)(x - 4)
x = -6, 4
Plug it back into the equation.
4 - 3 = 1
4 + 5 = 9
The length is 9 and the width is 1.