Find the area of a rectangle in the margin. Everything that looks like a square is a square, and the smallest square has an area of 1.
The smallest square has an area of 1, so it has a side of length 1.
You have two small squares, so we have an area of 2.
The square on top of them has a side of length 2, so has an area of 4.
The square to the left has a side of length 3, so has an area of 9.
And so on until we have the largest square having a side of length 8.
So the area is:
1 + (1 + 2^2 + 3^2 + ... + 8^2)
= 1 + (1 + 4 + 9 + 16 + 25 + 36 + 49 + 64)
= 205
-Dan