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Omni-MATH / Let rectangle ABCD have lengths AB=20 and BC=12. Extend ray BC to Z such that CZ=18. Let E be the point in the interior of ABCD such that the perpendicular distance from E to ……

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problem

Let rectangle ABCDA B C D have lengths AB=20A B=20 and BC=12B C=12. Extend ray BCB C to ZZ such that CZ=18C Z=18. Let EE be the point in the interior of ABCDA B C D such that the perpendicular distance from EE to \overline{A B}is6andtheperpendiculardistancefrom is 6 and the perpendicular distance from EtoAD¯ to \overline{A D} is 6 . Let line EZE Z intersect ABA B at XX and CDC D at YY. Find the area of quadrilateral AXYDA X Y D.
Plain-text mathematical notation (without MathML)
Let rectangle ABCD have lengths AB=20 and BC=12. Extend ray BC to Z such that CZ=18. Let E be the point in the interior of ABCD such that the perpendicular distance from E to \overline{A B}is6andtheperpendiculardistancefromEto(AD)¯ is 6 . Let line EZ intersect AB at X and CD at Y. Find the area of quadrilateral AXYD.
Original LaTeX notation
Let rectangle $A B C D$ have lengths $A B=20$ and $B C=12$. Extend ray $B C$ to $Z$ such that $C Z=18$. Let $E$ be the point in the interior of $A B C D$ such that the perpendicular distance from $E$ to \overline{A B}$ is 6 and the perpendicular distance from $E$ to \overline{A D}$ is 6 . Let line $E Z$ intersect $A B$ at $X$ and $C D$ at $Y$. Find the area of quadrilateral $A X Y D$.

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Source and history

task_id
0caa4b9d-0f58-50e7-9498-59bdbf45f76c
task_key
test--0caa4b9d-0f58-50e7-9498-59bdbf45f76c
task_revision_id
1
config / split
/ test

Official source

initial import