# High School Math : How to find the area of a square in pre-algebra

## Example Questions

### Example Question #1 : How To Find The Area Of A Square In Pre Algebra

Find the area of a square with a side of 10 inches.

Explanation:

The formula for the area of a square is . Therefore, square 10 and you get 100. Make sure your units are squared.

### Example Question #2 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square with a side length of ?

Explanation:

To find the area we square the side length

In this case we square  to get .

The answer for the area in this example is .

### Example Question #3 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square if the length of one side is ?

Explanation:

The area of a quadrilateral is length times width or . With a square, all four sides are equal, so we can say:

.

The problem tells us that each side is , so we can plug in and solve:

### Example Question #4 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square if each side is ?

Explanation:

The formula for the area of a square is side times side:

Plug in our given information and solve:

### Example Question #5 : How To Find The Area Of A Square In Pre Algebra

If a square has a perimeter of , what is the area?

Explanation:

The perimeter of a shape is the sum of the sides of that shape. For a square, all four sides are equal, meaning that .

For this problem .

From there we can solve.

The area of a square is equal to side squared.

### Example Question #5 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square with a side length of ?

Explanation:

The formula for the area of a square is .

Plug in our given information.

### Example Question #6 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square with a side of ?

Explanation:

The formula for the area of a square is .

Plug in our given information and solve.

### Example Question #7 : How To Find The Area Of A Square In Pre Algebra

If the area of a square is , what is each side's length?

Explanation:

Area of a square is .

Plug in our given values:

Since the square root of  is .

Therefore:

### Example Question #8 : How To Find The Area Of A Square In Pre Algebra

What is the area of a square with a side length of ?

Explanation:

To find the area we square the side length:

In this case we square  to get .

The answer for the area is .

### Example Question #9 : How To Find The Area Of A Square In Pre Algebra

A square has a side the length of . What is the area of this square?