Two squares of same size are rejoin into one large square. Is there any relation between the side of the large square and some length related to the smaller squares?

If the sides of the two squares are $2$ centimetres long, What is the area of each of these?

When we cut out two squares of the same size and rejoin to make a one large square, the length of a side of this large square is length of the diagonal of the small square.

Using this idea, can we draw a square of area $50$ square centimetres? 

When we cut out two squares of the same size and rejoin to make a one large square, the length of a side of this large square is length of the diagonal of the small square.

Using this idea, can we draw a square of area $32$ square centimetres? 

Suppose we cut a square of side $8$ centimetres by marking points $3$ centimetres from the corners. What is the area of this large square?

A square of side $9$ centimetres is to be cut and joined with another square to make a large square of area $117$ square centimetres. What should be the side of the second square? At what distance from the corners of the first square should points be marked for cutting it?

Draw a square of side $5$ centimetres and mark points $2$ centimetre from the corners as below:
We get a square by joining these points:

What is its area?

From a square of side $8$ centimetres, if we cut off four right triangles as shown below:

What is the area of the remaining square?