¶ 2020 AMC 12A Problem 2
Problem:
The acronym AMC is shown in the rectangular grid below with grid lines spaced 1 unit apart. In units, what is the sum of the lengths of the line segments that form the acronym AMC?
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Answer Choices:
A.
B.
C.
D.
E.
Solution:
Each of the straight line segments have length and each of the slanted line segments have length (this can be deducted using , pythag, trig, or just sense)
There area a total of straight lines segments and slanted line segments. The sum is
OR
Either count the straight or diagonals and deduce from the answers that the only answer possible is .
The problems on this page are the property of the MAA's American Mathematics Competitions