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What is the perimeter triangle BDP

Source: MTRP 2016 Class 11-Multiple Choice Question: Problem 11 :-

May 31, 2020
geometryrectangleperimeter

Problem Statement

In rectangle ABCDABCD, AD=1AD=1, PP is on ABAB and DBDB and DPDP trisect ∠ADC\angle ADC. What is the perimeter △BDP\triangle BDP
[*] 3+333+\frac{\sqrt{3}}{3}
[*] 2+4332+\frac{4\sqrt{3}}{3}
[*] 2+222+2\sqrt{2}
[*] 3+352\frac{3+3\sqrt{5}}{2}
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