1994 AMC 8 Problem 16
Attempt Problem 16 of the 1994 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 1994 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
The perimeter of one square is times the perimeter of another square. The area of the larger square is how many times the area of the smaller square?
Answer: E
Small hint:
If the perimeter is times as large, the side length is also times as large
Big hint:
Area scales as the square of the ratio of side lengths
Solution:
A square’s perimeter is proportional to its side, so the larger square has side length times the smaller one.
Area is the side squared, so the larger area is times the smaller.
Thus, the correct answer is E .
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
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- 1997 AMC 8
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- 1999 AMC 8
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