To calculate the length of the rectangle we let the length be x in, let width be (2x-5) inches The area will be given by: A=length×width A=x(2x-5) but A=700 in² thus 700=x(2x-5) 700=2x²-5x this can be written in quadratic form as: 2x²-5x-700=0 solving the quadratic we get: x=20 or x=-35/2 since the length cannot be negative then: x=20 in thus the width will be: 2*20-5 =40-5=35 inches