document.write( "Question 610811: A rectangle has a diagonal of 5 meters and perimeter of 14 meters. Find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #384598 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! P = 2L+2W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "14 = 2L+2W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 = L+W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L = 7-W\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( "\n" ); document.write( "L^2+W^2 = 5^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "L^2+W^2 = 25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(7-W)^2+W^2 = 25\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "49-14W+W^2+W^2 - 25 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2W^2-14W+24 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W^2-7W+12=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(W-4)(W-3) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W-4=0 or W-3=0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W = 4 or W = 3\r \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( "\n" ); document.write( "So the width is 3 meters and the length is 4 meters.\r \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------------------------------------- \n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jim \n" ); document.write( "--------------------------------------------------------------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |