document.write( "Question 257489: you have 80 feet of fencing to enclose a rectangular region. what is the maximum area? \n" ); document.write( "
Algebra.Com's Answer #189413 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! The perimeter is \n" ); document.write( "P = 2L + 2W or \n" ); document.write( "80 = 2L + 2W \n" ); document.write( "dividing by 2 we get \n" ); document.write( "(i) 40 = L + W \n" ); document.write( "THe area is \n" ); document.write( "(ii) A = LW \n" ); document.write( "solving (i) for L, we get \n" ); document.write( " (iii) L = 40-W \n" ); document.write( "substituting that in (ii), we get \n" ); document.write( "(iv) A = (40-W)(W) \n" ); document.write( "using completing the square, we get \n" ); document.write( "A = -(W-20)^2 + 400 \n" ); document.write( "So, when W = 20, the max area is 400. \n" ); document.write( " |