SOLUTION: How many times the sides of a square would increase if the area was increased by nine times?

Question 498614: How many times the sides of a square would increase if the area was increased by nine times?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the length of the side of the square be s.
The area of the square is given by:
Increase the area by 9 means: and we'll show the increase in the length of the side by: , so...
but so we substitute...
Simplify and solve for s.
Divide both sides by
Take the square root.

So the sides of the square (s) would increase by 3 times.
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