# 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

- llafferLv 71 month agoFavorite 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)

- Login to reply the answers

- PinkgreenLv 71 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

- Login to reply the answers

- PhilipLv 61 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.

- Login to reply the answers

- KrishnamurthyLv 71 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

- Login to reply the answers

- How do you think about the answers? You can sign in to vote the answer.
- Anonymous1 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).

- Login to reply the answers