SOLUTION: you are shopping for a square fence. the area of the fence is 500ft squared find out how much fence you will need to buy to cover the perimeter

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Question 823529: you are shopping for a square fence. the area of the fence is 500ft squared find out how much fence you will need to buy to cover the perimeter
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
CORRECTED COPY

Hi, there--

THE PROBLEM:
You are shopping for a square fence. The area you will fence is 500 square feet. Find out how 
much fence you will need to buy to cover the perimeter.

A SOLUTION:
Let's work backwards here. You are shopping for a fence to go around a square 
with an area of 500 square feet. Because it is a square, each side has the same measure.

Let s be the side length of the square.

The formula for the area of a square is A+=+s%5E2. In your problem, the area is 500 square 
feet, so

s%5E2+=+500

This means that the side length is s=sqrt%28500%29, or s=10%2Asqrt%285%29.

Now, let's look at the perimeter of the square. All four sides have equal length, so the 
formula for the perimeter is P=4s.

Substitute 10%2Asqrt%285%29 for s  to give

P=4%2A%2810%2Asqrt%285%29%29
P=40%2Asqrt%285%29

You need 40%2Asqrt%285%29 feet to fence the square. Now if you go to the store and ask for 
20%2Asqrt%2810%29 feet of fence, they'll think you're a crazy mathematician. This is a good time 
for an approximate answer. Use a calculator,

40%2Asqrt%285%29 is approximately 40%2A2.24=89.6

You will need about 89.6 feet of fence to cover the perimeter.

Hope this helps! Email me if you have questions about this.
Mrs.Figgy
math.in.the.vortex@gmail.com