Question

the area of a rectange is 35 square feet. the length is two feet longer than the width. what is the width of the rectangle?

Answer 1

its quadratic formula

Answer 2

let w be the width, length = w+2
Area of rectangle = length x width
35 = w ( w+2)
35 = w^2 + 2w
w^2 + 2w - 35 =0
w^2 -5x +7w -35 =0
w(w-5) + 7(w-5) =0
(w+7)(w-5) =0
w+7 =0 or w-5 =0
Can you solve the equations now?
Reject the answer of negative value as length cannot be of negative value...