A rectangular field is to be enclosed and divided into four equal lots by fences parallel to one of the side

fences-parallel

#1

A rectangular field is to be enclosed and divided into four equal lots by fences parallel to one of the side. A total of 10000 meters of fence area available. Find the area of the largest field that can be enclosed?

Answer:

Suppose that the sides of the rectangular field are a and b. After enclosing the field we have to divide it into four equal lots.

Suppose that the fences that divide the field are parallel to side a. There are three of those fences.

Now, total length of the fence is 10000 meters. This length consists of 2a+2b which represents perimeter of rectangular and 3a which represents three fences parallel to side a.

In total:

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