document.write( "Question 285902: the perimeter of a rectangle is twice the sum of its length and its width, the perimeter is 40 meters and te length is 2 meters more than twice its width what is the length \n" ); document.write( "
Algebra.Com's Answer #207326 by mgmoeab(37)![]() ![]() You can put this solution on YOUR website! 1).- P = 2(W + L)-------------OR-------------- P= 2W +2L (distributing)\r \n" ); document.write( "\n" ); document.write( "where: \n" ); document.write( "p= perimeter \n" ); document.write( "w= width \n" ); document.write( "l= length\r \n" ); document.write( "\n" ); document.write( "They tell you that \"the length is 2 meters more than twice it width\"\r \n" ); document.write( "\n" ); document.write( "2).- L = 2 + 2W\r \n" ); document.write( "\n" ); document.write( "If we substitute (2) in (1), then:\r \n" ); document.write( "\n" ); document.write( "P = 2W + 2 ( 2 + 2W) \n" ); document.write( "P = 2W + 4 + 4W \n" ); document.write( "P = 6W + 4\r \n" ); document.write( "\n" ); document.write( "We also know that the perimeter is 40 meters, so: \n" ); document.write( " P = 40 = 6W + 4\r \n" ); document.write( "\n" ); document.write( "Solving for W, you get:\r \n" ); document.write( "\n" ); document.write( "40 = 6W + 4 \n" ); document.write( "36 = 6W\r \n" ); document.write( "\n" ); document.write( "W = 6.\r \n" ); document.write( "\n" ); document.write( "But we want to know what L equals. We go back to equation 2 and subtitue W =6.\r \n" ); document.write( "\n" ); document.write( "L = 2 + 2(6)\r \n" ); document.write( "\n" ); document.write( "L= 14\r \n" ); document.write( "\n" ); document.write( "WHICH IS TRUE..\r \n" ); document.write( "\n" ); document.write( "P = 2(6) + 2 (14) \n" ); document.write( "P = 12 + 28 \n" ); document.write( "P = 40 \n" ); document.write( " \n" ); document.write( " |