document.write( "Question 319980: A square field had 5 meters added to the length and 2 meters to its width. The field then had an area of 130 meters squared. Find the length of a side of the original field. \n" ); document.write( "
Algebra.Com's Answer #229168 by ankor@dixie-net.com(22740)\"\" \"About 
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A square field had 5 meters added to the length and 2 meters to its width.
\n" ); document.write( " The field then had an area of 130 meters squared.
\n" ); document.write( " Find the length of a side of the original field.
\n" ); document.write( ":
\n" ); document.write( "Let x = side of original field
\n" ); document.write( "then
\n" ); document.write( "(x+5) = the new length
\n" ); document.write( "and
\n" ); document.write( "(x+2) = the new width
\n" ); document.write( ":
\n" ); document.write( "L * W = 130
\n" ); document.write( "(x+5)(x+2) = 130
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 2x + 5x + 10 = 130
\n" ); document.write( ":
\n" ); document.write( "x^2 + 7x + 10 - 130 = 0
\n" ); document.write( ":
\n" ); document.write( "x^2 + 7x - 120 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x + 15)(x - 8) = 0
\n" ); document.write( "The positive solution is what we want here
\n" ); document.write( "x = 8 meters, side of original square
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check solution by finding the area of the new rectangle
\n" ); document.write( "(8+5)*(8+2) = 130 \n" ); document.write( "
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