2021 AMC 10B Fall Problem 2

Attempt Problem 2 of the 2021 AMC 10B Fall 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 2021 AMC 10B Fall solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

What is the area of the shaded figure shown below?

$4$

$6$

$8$

$10$

$12$

Answer: B

Concepts:area decomposition triangle area

Difficulty rating: 560

Solution:

The area is a triangle of area $\dfrac {4\cdot 5}2 - \dfrac{2\cdot 4}2 = 10-4$ $= 6$ since we subtract the area of a smaller triangle from a larger triangle.

Thus, the answer is B .

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