1999 AMC 8 Problem 23
Attempt Problem 23 of the 1999 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 1999 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
23.
Square has sides of length Segments and divide the square’s area into three equal parts. How long is segment
Answer: C
Small hint:
Each of the three regions has area one-third of the square
Big hint:
Use the area of to find
Solution:
The area of the square is which means that the area of one region is
This means the area of is which means that
Since is right, we have
Thus, C is the correct answer.
Problem 23 in other years
- 1985 AMC 8
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