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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_2 / In rhombus ABCD, point P lies on segment (AD)¯ so that (BP)¯ ⊥ (AD)¯, AP=3, and PD=2. What is the area of ABCD? (Note: The figure is not drawn to scale.)

Problem

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problem

In rhombus

ABCD

, point

P

lies on segment

\overline{AD}

so that

\overline{BP}

\perp

\overline{AD}

AP = 3

, and

PD = 2

. What is the area of

ABCD

? (Note: The figure is not drawn to scale.)

Plain-text mathematical notation (without MathML)

In rhombus ABCD, point P lies on segment (AD)¯ so that (BP)¯ ⊥ (AD)¯, AP=3, and PD=2. What is the area of ABCD? (Note: The figure is not drawn to scale.)

Original LaTeX notation

In rhombus $ABCD$, point $P$ lies on segment $\overline{AD}$ so that $\overline{BP}$ $\perp$ $\overline{AD}$, $AP = 3$, and $PD = 2$. What is the area of $ABCD$? (Note: The figure is not drawn to scale.)

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_2
task_id: 49fb15ee-886a-50f4-b555-859c9040c9fe
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12B~5fProblems~2fProblem~5f2
task_revision_id: 2
config / split: default / train

Official source

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