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andrew11 [14]
3 years ago
9

The management of a large store wishes to add a fenced-in storage yard of 20,000 square feet, using the building as one side of

the yard. Find the minimum amount of fencing that must be used to enclose the remaining 3 sides of the yard.

Social Studies
1 answer:
Marat540 [252]3 years ago
7 0

Answer:

minimum fencing = 400

Explanation:

area = xy

20000 =xy

y =\frac{20000}{x}

total fencing = x+y+y

= x+2(\frac{20000}{x}

= x +\frac{40000}{x}

now for minimum fencing

\frac{d}{dx}c = \frac{d}{dx}(x +\frac{40000}{x}) = 0

after solving we get

x = 200

therefore

y = 100

minimum fencing  = x +2y

                               = 200+2*100 = 400

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