document.write( "Question 600757: I need help solving this problem: The side of a square equals the width of a rectangle. The length of the rectangle is 6 meters longer than its width. The sum of the areas of the square and rectangle is 176 square meters. Find the side of the square \n" ); document.write( "
Algebra.Com's Answer #379477 by ankor@dixie-net.com(22740)\"\" \"About 
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The side of a square equals the width of a rectangle.
\n" ); document.write( " The length of the rectangle is 6 meters longer than its width.
\n" ); document.write( " The sum of the areas of the square and rectangle is 176 square meters.
\n" ); document.write( " Find the side of the square
\n" ); document.write( ":
\n" ); document.write( "Let x = the side of the square and the width of the rectangle
\n" ); document.write( "then
\n" ); document.write( "(x+6) = the length of the rectangle
\n" ); document.write( ":
\n" ); document.write( "Square Area + Rectangle Area = 176 sq/m
\n" ); document.write( "x^2 + x(x+6) = 178
\n" ); document.write( "x^2 + x^2 + 6x = 176
\n" ); document.write( "A quadratic equation
\n" ); document.write( "2x^2 + 6x - 176 = 0
\n" ); document.write( "This will factor to
\n" ); document.write( "(2x + 22)(x - 8) = 0
\n" ); document.write( "The positive solution
\n" ); document.write( "x = 8 m is the side of the square
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "Check this:
\n" ); document.write( "8^2 + 8(14) = 176 \n" ); document.write( "
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