Question

How many feet of chain fence are necessary to enclose a dog pen that is square and has an area of 64 square feet?

Answer 1

Since we know that the area of a square is length x width and that the length=width, we can write an equation in order to find out the side of a square by using what is given. We know that the area of the square is 64 ft^2 which means that each side is equal to 8 using the equation shown below  

x^2=64
(length)(width)=64
length=width
(x)(x)=64
x=8

Now we know all the sides of the square which is 8ft. 
However, we're not done.
The question is asking for the amount of chain fence that is needed in order to enclose the square dog pen. 
The question is asking us to find the perimeter. 
Since we know what the sides of this square are, we can either add all the sides or just multiply one of the sides by four. 
8 x 4= 32ft
Answer: 32ft

Answer 2

• The amount of feet needed to enclose the pen is the perimeter of the pen.
• The pen has the format of a square, which means that we have to find the perimeter of a square.
• We find the side of the square from the area, and with this, it is possible to find the perimeter.

Doing this, we get that 32 feet are needed.

Square:

The area of a square of side s is:

$A = s^2$

And the perimeter is:

$P = 4s$

Area of 64 square feet

This means that:

$s^2 = 64$

$s = \sqrt{64}$

$s = 8$

The side of the square is of 8 feet.

Perimeter:

Side of 8 feet, so:

$P = 4s = 4(8) = 32$

32 feet of chain fence are needed.

A similar question is given at https://brainly.com/question/12256084