SOLUTION: Can you help me with my homework? Heres the problem. By what number must the length of the side of a square be multiplied so that its area will be nine times as great?

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Question 1017838: Can you help me with my homework?
Heres the problem. By what number must the length of the side of a square be multiplied so that its area will be nine times as great?
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The number is a factor. Let x be the side length of the original square shape. Let k be this unknown factor.

x%5E2 and %28kx%29%5E2 are the original and increased areas.
These are x%5E2 and k%5E2%2Ax%5E2.

Nine times greater area is wanted.
%28k%5E2%2Ax%5E2%29%2F%28x%5E2%29=9

k=3.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
The area of the large square is 9 times the area of the
small square.  How many times greater is each side of the 
large square than each side of the small square?


 
Edwin