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MATH / Points A(0,0), B(6,0), C(6,10) and D(0,10) are vertices of rectangle ABCD, and E is on segment CD at (2,10). What is the ratio of the area of triangle ADE to the area of quadrilate…

Problem

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problem

Points A(0,0)A(0, 0), B(6,0)B(6, 0), C(6,10)C(6, 10) and D(0,10)D(0, 10) are vertices of rectangle ABCDABCD, and EE is on segment CDCD at (2,10)(2, 10). What is the ratio of the area of triangle ADEADE to the area of quadrilateral ABCEABCE? Express your answer as a common fraction.
Plain-text mathematical notation (without MathML)
Points A(0,0), B(6,0), C(6,10) and D(0,10) are vertices of rectangle ABCD, and E is on segment CD at (2,10). What is the ratio of the area of triangle ADE to the area of quadrilateral ABCE? Express your answer as a common fraction.
Original LaTeX notation
Points $A(0, 0)$, $B(6, 0)$, $C(6, 10)$ and $D(0, 10)$ are vertices of rectangle $ABCD$, and $E$ is on segment $CD$ at $(2, 10)$. What is the ratio of the area of triangle $ADE$ to the area of quadrilateral $ABCE$? Express your answer as a common fraction.

level

Level 3

type

Geometry

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Source and history

task_id
a909a89c-c9f0-5602-baf8-488a50e3416b
task_key
geometry--test--a909a89c-c9f0-5602-baf8-488a50e3416b
task_revision_id
1
config / split
geometry / test

Official source

initial import