1997 AMC 12 Problem 2

Attempt Problem 2 of the 1997 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1997 AMC 12 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

2.

The adjacent sides of the decagon shown meet at right angles. What is its perimeter?
2222
3232
3434
4444
5050
Answer: D
Concepts:perimeterrectilinear polygons
Small hint:
The unlabeled rightward horizontal lengths together equal the bottom width
Big hint:
Find the total vertical extent by combining the labeled height and the upper step
Solution:
The total of the rightward horizontal sides is 12,12, so all horizontal sides total 24.24. The full height is 8+2=10,8+2=10, so the vertical sides total 20.20. Therefore the perimeter is 24+20=44,24+20=44, and the correct answer is D.
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