document.write( "Question 412834: The length of a rectangle is 5m longer than its width.
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document.write( "If the perimeter of the rectangle is 38m , find its area. \r
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Algebra.Com's Answer #289869 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! \"The length of a rectangle is 5m longer than its width. \n" ); document.write( "If the perimeter of the rectangle is 38m , find its area.\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = width \n" ); document.write( "x + 5 = length\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 2(x + 5) = 38 {perimeter equals two times length plus two times width} \n" ); document.write( "2x + 2x + 10 = 38 {used distributive property} \n" ); document.write( "4x + 10 = 38 {combined like terms} \n" ); document.write( "4x = 28 {subtracted 10 from both sides} \n" ); document.write( "x = 7 {divided both sides by 4} \n" ); document.write( "x + 5 = 12 {substituted 7, in for x, into x + 5}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "width = 7m \n" ); document.write( "length = 12m \n" ); document.write( "area = 84 m^2 {area = length x width} \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |