document.write( "Question 163887: If the sides of a square are lengthened by 6cm the area becomes 169cm^2. Find the length of a side of the original square?
\n" ); document.write( "I do so have a tough time deciphering word problems, and need some help please. \n" ); document.write( "

Algebra.Com's Answer #120726 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"x\"$ = the side of the original square in cm
\n" ); document.write( "The problem says
\n" ); document.write( " $\"%28x+%2B+6%29%2A%28x+%2B+6%29+=+169\"$ cm2
\n" ); document.write( "or
\n" ); document.write( " $\"%28x+%2B+6%29%5E2+=+169\"$
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( " $\"x+%2B+6+=+13\"$
\n" ); document.write( " $\"x+=+7\"$
\n" ); document.write( "The side of the original square is 7 cm
\n" ); document.write( "check:
\n" ); document.write( " $\"%28x+%2B+6%29%2A%28x+%2B+6%29+=+169\"$ cm2
\n" ); document.write( " $\"%287+%2B+6%29%2A%287+%2B+6%29+=+169\"$ cm2
\n" ); document.write( " $\"13%2A13+=+169\"$
\n" ); document.write( " $\"169+=+169\"$
\n" ); document.write( "OK \n" ); document.write( "

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