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That's because there's many rectangles which can be very large. This approach is not going to work in this kata.
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Wrong and confusing formula in example in description:
S = S(R1) + S(R2) + S(R3) - S(R1 ∩ R2) - S(R1 ∩ R3) - S(R2 ∩ R3) = 36
It should be either general formula:
S = S(R1) + S(R2) + S(R3) - S(R1 ∩ R2) - S(R1 ∩ R3) - S(R2 ∩ R3) + S(R1 ∩ R2 ∩ R3) = 36
Or formula specific to example where unions of value 0 are not shown:
S = S(R1) + S(R2) + S(R3) - S(R1 ∩ R2) = 36
what i can understand is that generall gist is draw concentric squares + change little differences