document.write( "Question 498614: How many times the sides of a square would increase if the area was increased by nine times? \n" ); document.write( "
Algebra.Com's Answer #337098 by Earlsdon(6294)\"\" \"About 
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Let the length of the side of the square be s.
\n" ); document.write( "The area of the square is given by:
\n" ); document.write( "\"A+=+s%5E2\" Increase the area by 9 means: \"9A\" and we'll show the increase in the length of the side by: \"n%2As\", so...
\n" ); document.write( "\"9A+=+%28n%2As%29%5E2\" but \"A+=+s%5E2\" so we substitute...
\n" ); document.write( "\"9%28s%5E2%29+=+%28n%2As%29%5E2\" Simplify and solve for s.
\n" ); document.write( "\"9s%5E2+=+n%5E2%2As%5E2\" Divide both sides by \"s%5E2\"
\n" ); document.write( "\"9+=+n%5E2\" Take the square root.
\n" ); document.write( "\"3+=+n\"
\n" ); document.write( "So the sides of the square (s) would increase by 3 times.
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