One side of a rectangle is 2 m shorter than another side. The area is 360 m2. Write a quadratic equation and solve it to find the length of the longer side of the rectangle

Step-by-step explanation:

Let one of the side = x

So, other side = x - 2

Area = 360 sq. m

x * (x - 2) = 360

x*x - x * 2 = 360

x² - 2x - 360 = 0

x² + 18x - 20x - 18*20 = 0

x (x + 18) - 20 * (x + 18) = 0

(x + 18) (x - 20) = 0

{x + 18 is ignored as measurement will not be a negative number}

x - 20 = 0

x = 20

Length of the longer side = 20 m