document.write( "Question 462975: The perimeter of a rectangle is 28cm the length of the rectangle is 6cm more than its width. What is the length of the rectangle? \n" ); document.write( "
Algebra.Com's Answer #317281 by algebrahouse.com(1659) You can put this solution on YOUR website! \"The perimeter of a rectangle is 28cm the length of the rectangle is 6cm more than its width. What is the length of the rectangle?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = width \n" ); document.write( "x + 6 = length\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Perimeter of a rectangle is 2(width) + 2(length)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 2(x + 6) = 28 {perimeter = 2(width) + 2(length)} \n" ); document.write( "2x + 2x + 12 = 28 {used distributive property} \n" ); document.write( "4x + 12 = 28 {combined like terms} \n" ); document.write( "4x = 16 {subtracted 12 from both sides} \n" ); document.write( "x = 4 {divided both sides by 4} \n" ); document.write( "x + 6 = 10 {substituted 4, in for x, into x + 6}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "length is 10 cm \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |