2024 AMC 8 Problem 3
Attempt Problem 3 of the 2024 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2024 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
Four squares of side length and units are arranged in increasing size order so that their left edges and bottom edges align. The squares alternate shaded and unshaded, as shown in the figure. What is the area of the visible shaded region in square units?
Answer: E
Small hint:
Use shaded and unshaded nested square areas
Big hint:
The visible shaded area is
Video solution:
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Written solution:
The visible shaded region is the part inside the by square but outside the by square, together with the part inside the by square but outside the by square. Its area is
Thus, E is the correct answer.
Problem 3 in other years
- 1985 AMC 8
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