document.write( "Question 314657: The length of a rectangle is 6 yards longer than its width.
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document.write( "If the perimeter of the rectangle is 52 yards find its area. \n" );
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Algebra.Com's Answer #225023 by Jstrasner(112)![]() ![]() You can put this solution on YOUR website! Hey, \r \n" ); document.write( "\n" ); document.write( "So for this one, we simply need to write what we know down:\r \n" ); document.write( "\n" ); document.write( "for the perimeter:\r \n" ); document.write( "\n" ); document.write( "2L + 2W = 52 yards\r \n" ); document.write( "\n" ); document.write( "for the info:\r \n" ); document.write( "\n" ); document.write( "L = W + 6\r \n" ); document.write( "\n" ); document.write( "We can substitute L in the equation for W + 6:\r \n" ); document.write( "\n" ); document.write( "2(W+6) + 2W =52 \r \n" ); document.write( "\n" ); document.write( "2W + 12 + 2W =52\r \n" ); document.write( "\n" ); document.write( "4W + 12 = 52\r \n" ); document.write( "\n" ); document.write( "4W = 40\r \n" ); document.write( "\n" ); document.write( "W = 10\r \n" ); document.write( "\n" ); document.write( "then we subsitute W into the original equation:\r \n" ); document.write( "\n" ); document.write( "L = 10 + 6\r \n" ); document.write( "\n" ); document.write( "L = 16\r \n" ); document.write( "\n" ); document.write( "Area is length multiplied by width:\r \n" ); document.write( "\n" ); document.write( "A=L*W\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "A= 16*10 => 160 yards^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope this helps! \n" ); document.write( " |