1966 AMC 12 Problem 2
Attempt Problem 2 of the 1966 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 1966 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
When the base of a triangle is increased and the altitude to this base is decreased the change in area is:
increase
increase
decrease
decrease
Answer: E
Small hint:
The area is proportional to the product of base and altitude
Big hint:
Multiply the scale factors and
Solution:
The new area is times the old area. It is therefore smaller.
Thus, the correct answer is E.
Problem 2 in other years
- 1950 AMC 12
- 1951 AMC 12
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