Question

The area of a rectangle is x^2-4/2x in.2, and its length is (x + 2)2/2 in. Find the width.

Answer 1

Step-by-step explanation:

the area (length × width) is

A = (x² - 4)/2x in² = (x + 2)(x - 2)/2x

length = (x + 2)²/2 = (x + 2)(x + 2)/2

width = A/length = 2(x+2)(x-2) / 2x(x+2)(x+2) =

= (x-2)/x(x+2) = (x-2)/(x²+2x)