document.write( "Question 695553: A rectangular field along a river is to be fenced with 800 feet of fencing find the dimension of the field which produces a maximum area \n" ); document.write( "
Algebra.Com's Answer #429428 by henew(13)![]() ![]() ![]() You can put this solution on YOUR website! Lenghth=a\r \n" ); document.write( "\n" ); document.write( "width=b\r \n" ); document.write( "\n" ); document.write( "perimeter = 2(a+b)= 800\r \n" ); document.write( "\n" ); document.write( "a+b=400\r \n" ); document.write( "\n" ); document.write( "now Area= a x b, which can be infinite combinations from (1,399), (2,398),(3,397) etc.. upto (399,1). \r \n" ); document.write( "\n" ); document.write( "multiply certain values and see the result.\r \n" ); document.write( "\n" ); document.write( "product of the sides increases gradually and starts decreasing after halfway.\r \n" ); document.write( "\n" ); document.write( "So the product is maximum when a and b are both 400.\r \n" ); document.write( "\n" ); document.write( "Or\r \n" ); document.write( "\n" ); document.write( "When the rectangle of given perimeter is a square, it will have maximum area \n" ); document.write( " |