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

6 Answers

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  • 1 month ago
    Favorite Answer

    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:

    6200 ft² (answer B)

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  • 1 month ago

    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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  • Philip
    Lv 6
    1 month ago

    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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  • 1 month ago

     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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  • david
    Lv 7
    1 month ago

    s = 314/4  =  78.5 ft

    A  =  78.5^2  =  6162.25 sq ft

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