document.write( "Question 529799: The length of a rectangle exceeds the width by 2cm. If the diagonal is 10cm long, find the width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #349727 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! L^2 + W^2 = D^2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(W+2)^2 + W^2 = 10^2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W^2 + 4W + 4 + W^2 = 100\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W^2 + 4W + 4 + W^2 - 100 = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2W^2 + 4W - 96 = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(W^2 + 2W - 48) = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2(W + 8)(W - 6) = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W + 8 = 0 or W - 6 = 0\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W = -8 or W = 6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Throw out the negative solution to get W = 6\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the width is 6 cm and the length is 6+2 = 8 cm\r \n" ); document.write( " \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( " |