The area of a rectangle is 18 square centimeters, and its perimeter is 22 centimeters. Find the dimensions of the rectangle.

2, 9, 2, 9

Step-by-step explanation:

length = x

width = y

xy = 18

2x + 2y = 22

Substitute the second equation into the first. to do that, rewrite the equation

2x + 2y = 22 becomes y = - x + 11

Then use the new equation and substitute it with the y in the first equation.

x (-x + 11) = 18

-x^2 + 11x - 18

Divide by - 1

x^2 - 11x + 18 = (x - 2) (x - 9)

x = 2, 9

when x = 2, y = 9 and when x = 9, y = 2 so they are interchangeable. the sides are 2, 9, 2, and 9.