SOLUTION: Geomatry. If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What were the dimensions of the original square?

Question 92713: Geomatry. If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What were the dimensions of the original square?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the sides of a square are decreased by 2cm, the area is decreased by 36cm^2. What were the dimensions of the original square?
:
Let x = side of the original square
x^2 = area of the original square
:
(x-2) = side of the new square
(x-2)^2 = area of the new square
:
Original square area - new square area = 36 cm^2
x^2 - (x-2)^2 = 36
x^2 -(x^2 - 4x + 4) = 36
x^2 - x^2 + 4x - 4 = 36
4x = 36 + 4
4x = 40
x = 10 cm is the side of the original square
:
:
10^2 - 8^2 = 36
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