Difference between revisions of "2022 AMC 10B Problems/Problem 2"
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<math>\bigtriangleup APB</math> is a 3-4-5 right triangle, so <math>BP = 4</math>. | <math>\bigtriangleup APB</math> is a 3-4-5 right triangle, so <math>BP = 4</math>. | ||
− | 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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-richiedelgado | -richiedelgado |
Revision as of 16:53, 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