Answer:
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.
