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vlabodo [156]
3 years ago
5

If you have 50 feet of fence, what shape would yield the greatest area in yards?

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

Square

Step-by-step explanation:

Perimeter of a rectangle is

P=2(l+w)

Where l is length and w is width

Substituting 50 for P

50=2(l+w)

25=l+w

Making w the subject of formula then

w=25-l

Area is lw and substituting for w

A=l(25-l)=-l²+25l

A=-l²+25l

Getting firat derivative of A with respect to l

-2l+25=0

l=25/2=12.5 yards

Width will be 25-12.5=12.5 yards

The dimensions of length and width are same hence the shape is square

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Step-by-step explanation:

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Combine like terms:

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Step-by-step explanation:

Let L represent the length of the playing field.

Let W represent the width of the playing field.

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The perimeter of a playing field for a certain sport is 254 ft. This means that

254 = 2(L + W)

L + W = 254/2

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L = W + 47

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