A rectangle parking lot has a lake that is 5 yards greater than the width. The area of the parking lot is 500 square yards. find the length and the width

Width = 20 yards

Length = 25 yards

Step-by-step explanation:

We are given;

The area of a rectangle as 500 square yards

We are going to take;

Length = x + 5 yards Width = x

But the area of a rectangle = length * width

Therefore;

x * (x + 5) = 500

x² + 5x = 500

Rearranging in quadratic manner

x² + 5x - 500 = 0

Solving the quadratic equation;

Using factorization method

(x+25) (x-20) = 0

Therefore;

x = 20 or - 25

We take, x = 20

Thus;

Width = 20 yards

Length = 25 yards