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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Simplify.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Simplify.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Dividing a fraction by a number is the same as multiplying by its reciprocal.

Simplify.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Simplify.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Simplify.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Simplify.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Simplify.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

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

We can then use the Pythgorean Theorem to write the following equations:

Now, use this formula and substitute using the given values to find the side length of the square.

Bring the radical to the top of the fraction by multiplying it by one in the form of .

Simplify.

Reduce.

Now, recall how to find the area of a square.

For this square in question, 

Solve.

The diagonal of a square is also the hypotenuse of a triangle whose legs are the sides of the square.

Thus, from knowing the length of the diagonal, we can use Pythagorean's Theorem to figure out the side lengths of the square.

We can now find the side length of the square in question.

Simplify.

Now, recall how to find the area of a square:

For the square in question,

Solve.

The diagonal of a square is also the hypotenuse of a triangle whose legs are the sides of the square.

Thus, from knowing the length of the diagonal, we can use Pythagorean's Theorem to figure out the side lengths of the square.

We can now find the side length of the square in question.

Multiply the fraction by one in the form: .

Simplify.

Reduce.

Now, recall how to find the area of a square:

For the square in question,

Solve.