A large store wishes to add a fenced-in rectangular storage yard of 20,000 square feet?

Question

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.

Answer 1

Squares always have the smallest perimeter.

sqrt 20000 = 141.42

You need 141.42*3 = 424.26 feet of fence.

However, since one of the four edges of the quadrilateral is already accounted for, a square is not what you need. The equation you need to use to determine the length of fence you need is:

F = L + 2(20000/L), with L = the length of the rectangle.

Finding the minimum value of this curve is easy using integration:

F = 1 - 40000/L^2
0 = 1 - 40000/L^2
40000/L^2 = 1
40000 = L^2
200 = L

So as it turns out, L = 200 is the minimum:

F = 200 + 2(20000 / 200) = 200 + 2(100) = 200 + 200 = 400

You need 400 feet of fence.

Answer 2

permit the size of the facet of the fencing be L and the width be W. on account that we desire to cut back fencing textile, we are able to assume that the facet the development would be taking may be the size. So we'd desire to creating use of fencing (F) for L + 2W = F. L x W = 20,000 W = 20,000/L L + 2(20,000/L) = F ............ (a million) because of the fact the facet of the development will advance(L) we hit upon that the quantity of fencing mandatory decreases. we'd desire to maximise L. So we diffrentiate eq. (a million) with admire to L and set it to 0. a million - 40,000/L^2 = 0 L^2 = 40,000 L = 200ft. W = 20,000/2 hundred = 100ft. minimum quantity of fencing that would want for use to encompass the the rest 3 facets of the backyard is: L + 2W = 2 hundred + 2(a hundred) = 2 hundred + 2 hundred = 400ft.

Answer 3

minimum is when the rectangle of 20.000 sq.feet is a square. In that case one side of the square = sqrt(20000).
You need 3 times such a side because the fourth side has the building as fence.

This is ofcourse only possible if the building's side is at least sqrt(20000) yards.

Answer 4

2100 feet
snd messge select it best answer , then i will explain

Answer 5

uhhh....blue? do your own homework dude....lol