document.write( "Question 547673: Find the dimensions of a rectangle whose perimeter is 26 meters and whose area is 40 square meters. \n" ); document.write( "
Algebra.Com's Answer #356487 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Area = 40 \n" ); document.write( "perimeter =26\r \n" ); document.write( "\n" ); document.write( "L*W=40 \n" ); document.write( "L=40/w\r \n" ); document.write( "\n" ); document.write( "Perimeter = 2(L+W)=26\r \n" ); document.write( "\n" ); document.write( "substitute L \r \n" ); document.write( "\n" ); document.write( "2(40/w + w)=26 \n" ); document.write( "2(40+w^2)/W=26 \n" ); document.write( "40+W^2=26*w/2 \n" ); document.write( "W^2+40=13W \n" ); document.write( "W^2-13W+40=0 \n" ); document.write( "W^2-8W-5W+40=0 \n" ); document.write( "W(W-8)-5(W-8)=0 \n" ); document.write( "(W-8)(W+5)=0 \n" ); document.write( "so W=8m the positive value\r \n" ); document.write( "\n" ); document.write( "length = 5 m \n" ); document.write( " |