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MATH / In trapezoid ABCD we have (AB)¯ parallel to (DC)¯, E as the midpoint of (BC)¯, and F as the midpoint of (DA)¯. The area of ABEF is twice the area of FECD. What is AB/DC?

Problem

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problem

In trapezoid ABCDABCD we have AB¯\overline{AB} parallel to DC¯\overline{DC}, EE as the midpoint of BC¯\overline{BC}, and FF as the midpoint of DA¯\overline{DA}. The area of ABEFABEF is twice the area of FECDFECD. What is AB/DCAB/DC?
Plain-text mathematical notation (without MathML)
In trapezoid ABCD  we have (AB)¯   parallel to (DC)¯, E  as the midpoint of (BC)¯, and F as the midpoint of (DA)¯. The area of ABEF is twice the area of FECD. What is AB/DC?
Original LaTeX notation
In trapezoid $ABCD$  we have $\overline{AB}$   parallel to $\overline{DC}$, $E$  as the midpoint of $\overline{BC}$, and $F$ as the midpoint of $\overline{DA}$. The area of $ABEF$ is twice the area of $FECD$. What is $AB/DC$?

level

Level 5

type

Geometry

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Source and history

task_id
9818bfd6-bf37-507e-a994-750186ed244f
task_key
geometry--test--9818bfd6-bf37-507e-a994-750186ed244f
task_revision_id
1
config / split
geometry / test

Official source

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