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Problem 376

AMC 12 late, AIME early

Combinatorics Difficulty 4.8 Find the answer

In the game "TRISQUARE", three points are awarded for each triangle found, and four points for each square. The highest number of points that can be achieved for the given diagram is
(A) 38
(B) 36
(C) 34
(D) 32
(E) 28

Your answer

Official solution

Solution

In the diagram, there are four small and two large triangles, for a total of 18 points. As well, there are four small and one large square, for a total of 20 points. Altogether, 38 points can be achieved.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.