document.write( "Question 359503: Length of a rectangle floor is 1m. less than twice its witdth. If a diagonal of the rectangle is 17 meters, find the length and width of the floor. Thank you for your help. \n" ); document.write( "
Algebra.Com's Answer #256498 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Length of a rectangle floor is 1m. less than twice its witdth. If a diagonal of the rectangle is 17 meters, find the length and width of the floor. Thank you for your help. \n" ); document.write( "... \n" ); document.write( "let width be x \n" ); document.write( "length = 2x-1 \n" ); document.write( "... \n" ); document.write( "the sides and the diagonal form a rectangle \n" ); document.write( "x^2+(2x-1)^2=17^2 \n" ); document.write( "x^2+4x^2-4x+1=289 \n" ); document.write( "5x^2-4x+1-289=0 \n" ); document.write( "5x^2-4x-288=0 \n" ); document.write( "5x^2-40x+x+36x-288=0 \n" ); document.write( "5x(x-8)+36(x-8)=0 \n" ); document.write( "(x-8)(5x+36)=0 \n" ); document.write( "x= 8m the width \n" ); document.write( "length = 2x-1 \n" ); document.write( "=16-1 \n" ); document.write( "=15 m the length \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |