A rectangular field is to be enclosed by a fence then subdivided into three areas by fences
parallel to the shorter side. Find the dimensions of the field with the largest total area that can be
enclosed with 260 m of fencing. What is the area?
As rectangular field is divided into three areas the fence is consist of 4 short sides and 2 large sides.
Define m is a short side. Then m is a large side. Total area:
Let’s find x for which the total area is maximum:
As and we can conclude corresponds to maximum value .
Sides of the rectangular field:
32.5 m and m.
Largest total area:
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