document.write( "Question 371202: A rectangular field with area 4500 square meters is enclosed with 300 meters of fencing. Find its dimensions. (HINT: set up a system) \n" ); document.write( "
Algebra.Com's Answer #264470 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let length be l \n" ); document.write( "width w \n" ); document.write( ".. \n" ); document.write( "Area = l*w \n" ); document.write( "l*w= 4500 \n" ); document.write( "l= 4500/w \n" ); document.write( "... \n" ); document.write( "perimeter = 2(l+w) \n" ); document.write( "2(l+w)=300 \n" ); document.write( "/2 \n" ); document.write( "l+w = 150 \n" ); document.write( ".. \n" ); document.write( "plug value of l \n" ); document.write( "4500/w +w = 150 \n" ); document.write( "(4500+w^2)/w=150 \n" ); document.write( "4500+w^2=150w \n" ); document.write( "w^2-150+4500=0 \n" ); document.write( "discriminant = 4500 \n" ); document.write( "solve for x using quadratic equation\r \n" ); document.write( "\n" ); document.write( "x1=(150+sqrt(4500))/2 \n" ); document.write( "x1=108.5 m \n" ); document.write( "x2= 150-sqrt(4500))/2 \n" ); document.write( "x2= 41.5 \n" ); document.write( "The dimensions are 108.5m by 41.5 m\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |