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Omni-MATH / Let ABCD be a rectangle such that AB=20 and AD=24. Point P lies inside ABCD such that triangles PAC and PBD have areas 20 and 24, respectively. Compute all possible areas of triang…

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problem

Let ABCDA B C D be a rectangle such that AB=20A B=20 and AD=24A D=24. Point PP lies inside ABCDA B C D such that triangles PACP A C and PBDP B D have areas 20 and 24, respectively. Compute all possible areas of triangle PABP A B.
Plain-text mathematical notation (without MathML)
Let ABCD be a rectangle such that AB=20 and AD=24. Point P lies inside ABCD such that triangles PAC and PBD have areas 20 and 24, respectively. Compute all possible areas of triangle PAB.
Original LaTeX notation
Let $A B C D$ be a rectangle such that $A B=20$ and $A D=24$. Point $P$ lies inside $A B C D$ such that triangles $P A C$ and $P B D$ have areas 20 and 24, respectively. Compute all possible areas of triangle $P A B$.

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Source and history

task_id
0dc6f85f-d769-5027-bbf3-de1de5f259e2
task_key
test--0dc6f85f-d769-5027-bbf3-de1de5f259e2
task_revision_id
1
config / split
/ test

Official source

initial import