The length of a rectangle is 4 inches more then its width. If 2 inches are taken from the length, and added to the width....

Question

the figure becomes a square with an area of 192 square inches. What is the width of the original rectangle? 

Answer 1

original rectangle is w by w+4

w+4-2, w+2

w+2, w+2

(w+2)²=192

take the square root of both sides

w+2=13.856

w=13.856-2

w=11.856 inches is the width of the original rectangle

w+4=15.856 is the length of the original rectangle

the square is 13.856 by 13.856 (13.856²=191.988≈192)