document.write( "Question 810649: A farmer has 3000 feet of wire to enclose a rectangular field. He plans to fence the entire area and hen subdivide it by running a fence across the middle. Find the dimensions of the field that would enclose the maximum area . What is the maximum area? \n" ); document.write( "
Algebra.Com's Answer #488320 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! Rectangle dimensions would be like, x and y. One more term of either x or y occurs as the divider fence length. You are not clear about running this subdividor accross the middle. Diagonally, or perpendicularly? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I am choosing the diagonal, because now no need to look at choice of either x or y. The total fence length using variables would be \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That diagonal is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So fencing length is \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve the fence length equation for either x or y. \n" ); document.write( "sqrt(x^2+y^2)=3000-2x-2y \n" ); document.write( "x^2+y^2=(3000-2(x+y))^2 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "Excuse me. This is easier to do on paper than in text form typed into a website page. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The plan is solve the fencing equation for either x or y, substitute this into the Area equation or function, and then find the derivative; and set equal to zero and solve for the variable. Then calculate the other variable. \n" ); document.write( " |