Since the yard is square in shape, we can divide the perimeter(140ft) by 4, giving us 35ft for each side. We then square 35 to give us the area, 1225 feet. 

The area of a square is equal to its length times its width, so we need to figure out how long each side of the parking lot is. Since a square has four sides we calculate each side by dividing its perimeter by four.

\(\displaystyle \frac{160}{4}=40\)

Each side of the square lot will use 40 feet of fence.

\(\displaystyle Area=length \times width\)

^{\(\displaystyle 40\ ft\times 40\ ft=1600\ ft^{2}\).}

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=8^2=64\)

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=1^2=1\)

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=14^2=196\)

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=25^2=625\)

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=100^2=10000\)

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=(\sqrt{2})^2=2\)

Recall that when a square root is squared you are left with the number under the square root sign. This happens because when you square a number you are multiplying it by itself. In our case this is,

\(\displaystyle (\sqrt{2})^2=\sqrt{2}\cdot \sqrt{2}\).

From here we can use the property of multiplication and radicals to rewrite our expression as follows,

\(\displaystyle \sqrt{2}\cdot \sqrt{2}=\sqrt{2\cdot 2}\)

and when there are two numbers that are the same under a square root sign you bring out one and the other number and square root sign go away.

\(\displaystyle \sqrt{2\cdot 2}=2\)

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=(0.2)^2=0.04\)

When multiplying decimals together first move the decimal over so that the number is a whole integer.

\(\displaystyle 0.2\rightarrow 2\)

Now we multiple the integers together.

\(\displaystyle 0.2\cdot 0.2\rightarrow 2\cdot 2=4\)

From here, we need to move the decimal place back. In this particular problem we moved the decimal over one time for each number for a total of two decimal places.

Therefore our answer becomes,

\(\displaystyle 4\rightarrow 0.04\)

Use the following formula to find the area of a square:

\(\displaystyle \text{Area}=(\text{side length})^2\)

For the given square,

\(\displaystyle \text{Area}=\left(\frac{1}{4}\right)^2=\frac{1}{16}\)

When squarring a fraction we need to square both the numerator and the denominator.

\(\displaystyle \left( \frac{1}{4}\right)^2=\frac{1^2}{4^2}=\frac{1\cdot 1}{4\cdot 4}=\frac{1}{16}\)