document.write( "Question 375207: find the sides of a rectangle whose perimeter is 40 and diagonal is 18? \n" ); document.write( "
Algebra.Com's Answer #266830 by mananth(16946)![]() ![]() You can put this solution on YOUR website! perimeter = 40 \n" ); document.write( "2(L+W)=40 \n" ); document.write( "L+W=20 \n" ); document.write( "L= 20-W \n" ); document.write( "... \n" ); document.write( "Diagonal = 18 \n" ); document.write( ".. \n" ); document.write( "width^2 + length^2 = diagonal ^2 \n" ); document.write( "W^2+(20-W)^2=diagonal^2 \n" ); document.write( "W^2+400-40W+W^2=D^2 \n" ); document.write( "2W^2-40W+400 = 18^2 \n" ); document.write( "2W^2-40W+400=324 \n" ); document.write( "2W^2-40w+76=0 \n" ); document.write( "/2 \n" ); document.write( "W^2-20W+38=0 \n" ); document.write( ".. \n" ); document.write( "find the roots x1 & x2 by using quadratic formula \n" ); document.write( "discriminant b^2-4ac=248 \n" ); document.write( "x1=((20+sqrt(248))/2 \n" ); document.write( "x1= 17.87 \n" ); document.write( "x2=((20-sqrt(248))/2 \n" ); document.write( "2.13 \n" ); document.write( "the other side will be 20-17.87 = 2.13 \n" ); document.write( ".. \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |