Small equilateral triangles

Algebra Level 1

Based from the figure above, how many small equilateral triangles are in figure 40?


The answer is 1764.

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1 solution

figure n = ( n + 2 ) 2 \text{figure n} = (n+2)^2

figure 40 = ( 40 + 2 ) 2 = 1764 \text{figure 40} = (40+2)^2=\boxed{1764}

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