The shortest total length of fence this can be done with will be 440 m as the total area is 2000 m².
The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The distance around an object is called the perimeter. For instance, the yard of your home is fenced in. The fence's length serves as the perimeter. Your fence is 200 feet long if the yard is 50 feet by 50 feet.
Here,
The area=2000 m²
xy=2000
x=2000/y
p=4x+2y
p=4*(2000/y)+2y
=8000/y+2y
p'=-8000/y²+2
-8000/y²+2=0
2y²-8000=0
y²-4000=
y²=4000
y= 20 m
p=8000/20+2*20
p=400+40=440 m
Given that the total area is 2000 m², the shortest total length of fence that can be used is 440 m.
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