SOLUTION: The perimeter of a rectangle is 46 units. The difference between the length and the width of the rectangle is 13 units. What is the area of the rectangle?

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Question 836986: The perimeter of a rectangle is 46 units. The difference between the length and the width of the rectangle is 13 units. What is the area of the rectangle?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
length = x, width = y

x + y = 23
x - y = 13

Add both equations to get 2x = 36 ---> x = 18.

18 + y = 23
y = 5

area = xy = (18)(5) = 90 unit^2