A new building in New York City will have a footprint that is a perfect square, taking up a complete city block. If one city block is of a mile, what is the area taken up by the building?

Find the area of a square by raising the side length to the second power:

So our area is:

When finding the area of a square, we use the following formula:

where l is the length and w is the width of the square.  

Now, we know that a square has 4 equal sides.  So given the square

we know the length is 6ft and the width is 6ft.  So, we can substitute into the formula.

Note that the label is also squared.  This is because when we multiply, we are also multiplying the label.

To find the perimeter of a square, we use the following formula:

where l is the length and w is the width of the square.  

Now, we know the width of the square is 8 inches.  Because it is a square, we know that all sides are equal.  Therefore, the length is also 8 inches.  Knowing this, we can substitute into the formula.  We get

You are playing Monopoly and notice that the dice is a cube. If the dice has a height of 2 centimeters, what is the area of one of its surfaces?

We can begin by realizing that we need to find the area of just one surface of the cube. This surface will be a square, we know this because we are dealing with a cube.

So, we need to find the area of a square. Easy enough with the following formula:

Now, we just need to know "s." To find s, we need to look at the question. We are told that the height of the cube is 2cm. This means that the side length of our base (square) is also 2.

So...

To find the area of a square, we will use the following formula:

where l is the length and w is the width of the square.

Now, we know the square has a base of length 9 inches.  Because it is a square, we know that all sides are equal.  This means all sides are 9 inches.  Therefore, the width is also 9 inches.  Knowing this, we can substitute into the formula.  So,

A square stamp has an edge length of 6 centimeters, what is its area?

To find the area of a square, simply square the side length:

So our answer is 

The area of a square is the side length square, or multiplied by itself,

meaning your answer must be,

.

A city block is a perfect square with sides of .

What is the area of the city block?

To find the area of a square, take the side length and square it.

So, we get:

To find the area of a square, we will use the following formula:

where l is the length and w is the width of the square.

Now, we know the base of the square has a length of 13 inches.  Because it is a square, we know that all sides are equal.  Therefore, the width is also 13 inches.  Knowing this, we can substitute into the formula.  We get

To find the area of a square, we will use the following formula:

where l is the length and w is the width of the square.

Now, we know the base has a length of 8 inches.  Because it is a square, we know that all sides are equal.  Therefore, all sides have a length of 8 inches.  This means the width is also 8 inches.  Knowing this, we can substitute into the formula.  We get