Question 988637
 A rectangle and a square have the same area. The width of the rectangle is 48 cm less than the side of the square and the length of the rectangle is 128 cm more than twice the width of the square. What are the dimensions of the rectangle? 

let x=side(width) of square
x-48=width of rectangle
2x+128=length of rectangle
(x-48)(2x+128)=x^2
2x^2+32x-6144=x^2
x^2+32x-6144=0
(x-64)(x+96)=0
x=64
side(width) of square=64
x-48=width of rectangle=16 cm
2x+128=length of rectangle=256 cm