1964 AMC 12 Problem 33
Attempt Problem 33 of the 1964 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 1964 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
33.
is a point interior to rectangle and such that inches, inches, and inches. Then in inches, equals:
Answer: B
Small hint:
Use the rectangle identity
Big hint:
Substitute the three known distances and solve for
Solution:
For any point in a rectangle, the British flag theorem gives Thus so and
Therefore, the correct answer is B.