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2021 Fall AMC 10B Problem 2

Problem 2 of 25EasierGeometry

What is the area of the shaded figure shown below?

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Solution

The area is a triangle of area 4⋅52−2⋅42=10−4\dfrac {4\cdot 5}2 - \dfrac{2\cdot 4}2 = 10-4 =6= 6 since we subtract the area of a smaller triangle from a larger triangle. Thus, the answer is B .

More practice

Concepts: area decomposition · triangle area

Problem text and solution from the LIVE past-contest archive. See also the AoPS wiki page for community solutions.