SOLUTION: If each side of a square is increased by 3cm , its area is increased by 45cm^2. Find the length of a side of the original square.

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Question 824351: If each side of a square is increased by 3cm , its area is increased by 45cm^2. Find the length of a side of the original square.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(x+3)^2 = x^2 + 45

x^2 + 6x + 9 = x^2 + 45

x^2 + 6x + 9 - x^2 = 45

6x + 9 = 45

6x = 45 - 9

6x = 36

x = 36/6

x = 6

The side length of the original square is 6 cm