# A square playground is built using 314 feet of fencing. About how many square feet does this fence contain?

A.) 3,000

B.) 6,200

C.) 7, 200

D.) 31,400

Relevance

If the area is a square, then we can use this equation:

A = s²

For the area.  We don't know the area, but we know the perimeter, which we can use this equation:

P = 4s

We know this perimeter so we can solve for s:

314 = 4s

s = 78.5

Now we can use the first equation to solve for the area:

A = s²

A = 78.5²

A = 6162.25

Rounded to 2SF:

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• Let x ft be the side-length of the playground.

4x=314

=>

x=78.5

=>

x^2=6162.25 ft^2

Ans. B

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• Side length of square playground = (314/4) ft = 78.5 ft. Playground area = (78.5)^2

square feet = 6162.25 (ft)^2 = 6,200 (ft)^2 rounded to nearest 100. Correct option is

B.

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•  A square playground is built using 314 feet of fencing.

A = 6162.25 feet^2 This fence contains about 6162 square feet. Answer choice:B.) 6,200

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• Anonymous
1 month ago

WOW!  the hard way:

314 linear feet of fencing, Without a GATE for entry?

Square, so you say.

Four sides divided into the length. 314/4 = 78.5 each side.

Multiply  the one side by itself for area.

78.5 * 78.5 = 6162.25

So I would presume we are now putting a gate into the fence, which would lead to B) 6,200 as the answer. (That be One Huge Gate, man).

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• s = 314/4  =  78.5 ft

A  =  78.5^2  =  6162.25 sq ft

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