MathDB
MAA really loves rhombi this year

Source: 2023 AIME I #8

February 8, 2023
AMCAIMEAIME I

Problem Statement

Rhombus ABCDABCD has ∠BAD<90∘\angle BAD<90^{\circ}. There is a point PP on the incircle of the rhombus such that the distances from PP to lines DADA, ABAB, and BCBC are 99, 55, and 1616, respectively. Find the perimeter of ABCDABCD.
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