¶ 2022 AMC 10B Problem 2
Problem:
In rhombus , point lies on segment such that , and . What is the area of
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The side length of the rhombus is , so . The Pythagorean Theorem applied to yields . Thus the area of is .
The problems on this page are the property of the MAA's American Mathematics Competitions