Question 1188854: Find the dimensions of the rectangle of maximum area that can be constructed with 500\m of fencing. Find the maximum area. Answer by ikleyn(52778) (Show Source):
You can put this solution on YOUR website! .
Find the dimensions of the rectangle of maximum area that can be constructed with 500 m of fencing.
Find the maximum area.
~~~~~~~~~~~~~~~~~
A rectangle of the given perimeter P, which has maximum area, is a square with the side length
one fourth of the perimeter. Its area is square units.
In the given case, a rectangle of the given perimeter 0f 500 m (fencing), which has maximum area,
is a square with the side length of = 125 m.
Its area is = = 15625 square meters.
