SOLUTION: The perimeter of a rectangle is 28 cm. If the length were subtracted by 2 and the width added by 2, the rectangle would have been a square. What are the dimensions of the rectangle

Question 629871: The perimeter of a rectangle is 28 cm. If the length were subtracted by 2 and the width added by 2, the rectangle would have been a square. What are the dimensions of the rectangle?
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Let x = width and y = length
The perimeter is 28 cm so 2x + 2y = 28 or x + y = 14.
Also, y - 2 = x + 2 or x - y = -4
Add the equations x + y = 14 and x - y = -4, the result is
2x = 10
x = 5
so y = 9
Answer: length = 9 cm and width = 5 cm.
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