2014 AMC 8 Problem 14
Attempt Problem 14 of the 2014 AMC 8 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 2014 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
Rectangle and right triangle have the same area. They are joined to form a trapezoid, as shown. What is
Answer: B
Small hint:
Set the triangle area equal to the rectangle area.
Big hint:
After finding , use the -- right triangle.
Solution:
The area of is
The area of Therefore: Then using the Pythagorean theorem we get that
Thus, B is the correct answer.
Problem 14 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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