2012 AMC 12B Problem 2
Attempt Problem 2 of the 2012 AMC 12B 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 2012 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
2.
A circle of radius is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is What is the area of the rectangle?
Small hint:
The width of the rectangle equals the diameter of the circle
Big hint:
The length is twice the width
Solution:
The circle is inscribed, so the width of the rectangle equals the diameter,
The length is then so the area is
Thus, the correct answer is E.
Problem 2 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
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- 1954 AMC 12
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