First, recall how to find the perimeter of a square.

From this equation, we can solve for the side length of a square.

For the given square,

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

For the square in question, we can plug in the side length we found from the perimeter to find the area.

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.

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.