Difference between revisions of "2022 AMC 10B Problems/Problem 2"
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Area of a rhombus <math>= bh = (AD)(BP) = 5 * 4 = \boxed{\textbf{(D) }20}</math>. | Area of a rhombus <math>= bh = (AD)(BP) = 5 * 4 = \boxed{\textbf{(D) }20}</math>. | ||
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Revision as of 15:52, 17 November 2022
Problem
In rhombus , point lies on segment so that , , and . What is the area of ? (Note: The figure is not drawn to scale.)
(Figure redrawn to scale)
Solution
is a rhombus, so
is a 3-4-5 right triangle, so .
Area of a rhombus . -richiedelgado