2000 AMC 8 Problem 25
Attempt Problem 25 of the 2000 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 2000 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
25.
The area of rectangle is square units. If point and the midpoints of and are joined to form a triangle, the area of that triangle is
Answer: B
Small hint:
Let the rectangle sides be and
Big hint:
Subtract the three outside right triangles from the rectangle
Solution:
Let the rectangle have side lengths and so its area is and
The three right triangles outside the desired triangle have areas and
Their total area is Therefore the desired triangle has area
Thus, B is the correct answer.
Problem 25 in other years
- 1985 AMC 8
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