document.write( "Question 245998: A carpenter is building a rectangular room with a fixed perimeter of 240 ft. What dimensions would yeild the maximum area? what is the maximum area? \n" ); document.write( "
Algebra.Com's Answer #179683 by ripplemehta(3)![]() ![]() You can put this solution on YOUR website! perimeter of the rectangulatr room=240ft \n" ); document.write( "perimeter of a rectangle=2*(l+b) \n" ); document.write( "so 240=2*(l+b)so \n" ); document.write( "l+b=120 \n" ); document.write( "so if l=x \n" ); document.write( "b=120-x \n" ); document.write( "area=x*(120-x) \n" ); document.write( "A=x(120-x) \n" ); document.write( "for maximum A dA/dx=0 \n" ); document.write( "dA/dx=d/dx(120x-x^2) \n" ); document.write( "0=120-2x \n" ); document.write( "x=60ft \n" ); document.write( "length=60ft \n" ); document.write( "breadth=120-60=60ft answer \n" ); document.write( " |