2021 Fall AMC 12B Problems/Problem 2
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Contents
Problem
What is the area of the shaded figure shown below?
Solution 1
By inspection
.
~Wilhelm Z
Solution 2
The area is
Therefore, the answer is .
~Steven Chen (www.professorchenedu.com)
Discussion
To find the area of the figure, it can be divided along the line into two congruent triangles, or the area of the triangle with vertices
,
, and
can be subtracted from the area of the triangle with vertices
,
, and
. Alternatively, Pick's Theorem or the Shoelace Theorem can be used.
2021 Fall AMC 12B (Problems • Answer Key • Resources) | |
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