# Basic Geometry : How to find the length of the side of a square

## Example Questions

### Example Question #31 : How To Find The Length Of The Side Of A Square

If the area of a square is , find the length of one side of the square.

Explanation:

Recall how to find the area of a square:

We can rewrite that equation into the following:

Now, plug in the given area to find the side length of the square.

### Example Question #32 : How To Find The Length Of The Side Of A Square

If the area of a square is , find the length of one side of the square.

Explanation:

Recall how to find the area of a square:

We can rewrite that equation into the following:

Now, plug in the given area to find the side length of the square.

### Example Question #33 : How To Find The Length Of The Side Of A Square

If the area of a square is , find the length of one side of the square.

Explanation:

Recall how to find the area of a square:

We can rewrite that equation into the following:

Now, plug in the given area to find the side length of the square.

### Example Question #34 : How To Find The Length Of The Side Of A Square

If the area of a square is , find the length of one side of the square.

Explanation:

Recall how to find the area of a square:

We can rewrite that equation into the following:

Now, plug in the given area to find the side length of the square.

### Example Question #35 : How To Find The Length Of The Side Of A Square

If the area of a square is , find the length of one side of the square.

Explanation:

Recall how to find the area of a square:

We can rewrite that equation into the following:

Now, plug in the given area to find the side length of the square.

### Example Question #36 : How To Find The Length Of The Side Of A Square

If the area of a square is , find the length of one side of the square.

Explanation:

Recall how to find the area of a square:

We can rewrite that equation into the following:

Now, plug in the given area to find the side length of the square.

### Example Question #37 : How To Find The Length Of The Side Of A Square

If the area of a square is , find the length of one side of the square.

Explanation:

Recall how to find the area of a square:

We can rewrite that equation into the following:

Now, plug in the given area to find the side length of the square.

### Example Question #38 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

### Example Question #39 : How To Find The Length Of The Side Of A Square

If the diagonal of the square is , what is the length of one side of the square?

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

### Example Question #40 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?