document.write( "Question 195848: If the sides of a square are increased by 2 meters, the area becomes 49 square meters. Find the length of a side of the original square. \n" ); document.write( "
Algebra.Com's Answer #146916 by ankor@dixie-net.com(22740)\"\" \"About 
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If the sides of a square are increased by 2 meters, the area becomes 49 square meters.
\n" ); document.write( "Find the length of a side of the original square.
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\n" ); document.write( "Let x = side of the original square
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\n" ); document.write( "(x+2) = side of the larger square
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\n" ); document.write( "Find the area of the larger square
\n" ); document.write( "(x+2)*(x+2) = 49
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 4x +4 = 49
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\n" ); document.write( "x^2 + 4x + 4 - 49 = 0
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\n" ); document.write( "x^2 + 4x - 45 = 0; a quadratic equation
\n" ); document.write( "Factors to:
\n" ); document.write( "(x+9)(x-5) = 0
\n" ); document.write( "Positive solution is what we want here
\n" ); document.write( "x = 5 meters is the side of the original square
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\n" ); document.write( "Check solution: (5+2)^2 = 49
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