Let the side length of the lower right square be x cm.

Because the two squares in the lower right corner are the same,

Therefore, the side length of the upper right square is 2x- 1 cm.

The upper left side is 2x-2 cm long and the lower left side is x+ 1 cm long.

So 2x-1+2x-2 = x+x+x+1.

x=4

So S= 1? +4? +4? +5? +6? = 143 cm？