2000 AMC 8 Problem 6
Attempt Problem 6 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).
6.
Figure is a square. Inside this square three smaller squares are drawn with side lengths as labeled. The area of the shaded L-shaped region is
Answer: A
Small hint:
Break the shaded L into rectangles
Big hint:
A square minus a square also works
Solution:
We can subtract out the areas of the top unit square, the bottom right unit square, and the top right square.
The shaded area in is therefore
Thus, A is the correct answer.
Problem 6 in other years
- 1985 AMC 8
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