document.write( "Question 150433: Please help solve.\r
\n" ); document.write( "\n" ); document.write( "If the sides of a square are lengthened by 7cm, the area becomes 121 cm^2. Find the length of a side of the original square. The length of a side of the original square is ___________cm.
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Algebra.Com's Answer #110378 by jojo14344(1513)\"\" \"About 
You can put this solution on YOUR website!
Let's make \"x\" = side of the orginal square.
\n" ); document.write( "Since the \"Area\" is given when the sides are lengthened by 7cm, we'll use this condition in solving for \"x\". So the sides will be \"x%2B7\", and going to our formula for \"Area\" of square,
\n" ); document.write( "\"A=%28sides%29%5E2\"
\n" ); document.write( "\"A=%28x%2B7%29%5E2\" ---------> \"121cm%5E2=x%5E2%2B14x%2B49\"
\n" ); document.write( "\"x%5E2%2B14x-72=0\" ------> \"%28x%2B18%29%28x-4%29=0\"
\n" ); document.write( "2 values,
\n" ); document.write( "\"x=-18\", don't use since \"negative\"
\n" ); document.write( "\"x=4cm\", USE THIS DISABLED_event_ONE= ORIGINAL LENGTH
\n" ); document.write( "It just makes sense to have this length. Why?
\n" ); document.write( "Simply, \"A=%28new+sides%29%5E2\"
\n" ); document.write( "\"121cm%5E2=+%284%2B7%29%5E2\"
\n" ); document.write( "\"121cm%5E2=121cm%5E2\"
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
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