document.write( "Question 1014500: Karl proposed a project to put up a rectangular garden whose lot perimeter is 36 meters. He was soliciting suggestions for feasible dimensions of the lot. what will i suggest if i want a maximum lot area? \n" ); document.write( "
Algebra.Com's Answer #630842 by FrankM(1040) You can put this solution on YOUR website! 1/2 perimeter is 18 meters. \n" ); document.write( "Since L+W = 18, we can substitute and say L = 18-W and the area, A = (W)(18-W)\r \n" ); document.write( "\n" ); document.write( "Distributing, we get A= 18W-W^2 which is a parabola, with a shape that opens down. Now, the X intercepts are 0 and 18, which is a fence with no space in between. The vertex, or maximum area occurs at 9, the midpoint between these zeros. \r \n" ); document.write( "\n" ); document.write( "At 9 x 9 you get an area of 81, \r \n" ); document.write( "\n" ); document.write( "From this, you should learn that the maximum area you can get given a perimeter of a rectangle is to form a square. \n" ); document.write( " |