2003 AMC 8 Problem 21
Attempt Problem 21 of the 2003 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 2003 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
21.
The area of trapezoid is The altitude is cm, is cm, and is cm. What is in centimeters?
Answer: B
Small hint:
Drop perpendiculars from and to the base.
Big hint:
Use the and right triangles.
Solution:
Drop perpendiculars from and to meeting it at and
In the left and right right triangles, and
The two side triangles have areas and The middle rectangle has area
Thus so and
Thus, B is the correct answer.
Problem 21 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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