document.write( "Question 155935: If each side of a square is increased by 5 meters, the area becomes 121 square meters. Find the length of a side of the original square. \n" ); document.write( "

Algebra.Com's Answer #114869 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
We based the measurement on the NEW dimensions:
\n" ); document.write( " $\"sides=s%2B5\"$ -----------> each side increased by 5 meters
\n" ); document.write( " $\"Area=121m%5E2\"$ ---------> NEW Area
\n" ); document.write( "So,
\n" ); document.write( " $\"A=%28s%2B5%29%5E2\"$
\n" ); document.write( " $\"121=s%5E2%2B10s%2B25\"$
\n" ); document.write( " $\"s%5E2%2B10s%2B25-121=0\"$
\n" ); document.write( " $\"s%5E2%2B10s-96=0\"$
\n" ); document.write( "Factor (perfect square):
\n" ); document.write( " $\"%28s%2B16%29%28s-6%29=0\"$
\n" ); document.write( "2values: $\"s=-16m\"$ ----------> DON'T USE
\n" ); document.write( " $\"s=6m\"$ ---------------------> USE, side of ORIGINAL SQUARE
\n" ); document.write( "In doubt? Use the side for the new AREA.
\n" ); document.write( " $\"121m%5E2=%286%2B5%29%5E2\"$
\n" ); document.write( " $\"121m%5E2=11%5E2\"$
\n" ); document.write( " $\"121m%5E2=121m%5E2\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo
\n" ); document.write( " \n" ); document.write( "

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