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Let the figure number be F.

The number of triangles is always height (F) x length (F+1).

For 240 triangles, F can’t be more than 15, since 16 x 16 = 256 (>240).

So let’s try F = 15. Height = 15, length = 15 +1. And 15 x 16 = 240. Yay, it’s figure number 15.

 

Let the figure number be 100.

The number of triangles is 100 x 101 = 10100.

The number of circles is always 2x (height in triangles + length in triangles) = 2x (100 + 101) = 402.

Total number is 10502.

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