2009 AMC 8 Problem 7
Attempt Problem 7 of the 2009 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 2009 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
7.
The triangular plot of land lies between Aspen Road, Brown Road and a railroad. Main Street runs east and west, and the railroad runs north and south. The numbers in the diagram indicate distances in miles. The width of the railroad track can be ignored. How many square miles are in the plot of land
Answer: C
Small hint:
Use as a base for triangle
Big hint:
The perpendicular distance from to the railroad is shown by
Solution:
The base of is which is The altitude is as well.
Therefore, the area of is
Thus, C is the correct answer.
Problem 7 in other years
- 1985 AMC 8
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