document.write( "Question 1013620: The width of a rectangle is 4 inches shorter than its length.If the diagonal of the rectangle is 20 iches,What is the width of the rectangle ? \n" ); document.write( "
Algebra.Com's Answer #629916 by fractalier(6550) You can put this solution on YOUR website! We have \n" ); document.write( "W = L - 4 \n" ); document.write( "and \n" ); document.write( "W^2 + L^2 = 20^2 \n" ); document.write( "Now substitute and get \n" ); document.write( "(L-4)^2 + L^2 = 20^2 \n" ); document.write( "L^2 - 8L + 16 + L^2 = 400 \n" ); document.write( "2L^2 - 8L - 384 = 0 \n" ); document.write( "L^2 - 4L - 192 = 0 \n" ); document.write( "(L - 16)(L + 12) = 0 \n" ); document.write( "L = 16 so that \n" ); document.write( "W = 12 inches \n" ); document.write( " |