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Omni-MATH / ABCD is a parallelogram satisfying AB=7,BC=2, and ∠DAB=120^(∘). Parallelogram ECFA is contained in ABCD and is similar to it. Find the ratio of the area of ECFA to the area of ABCD…

Problem

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problem

ABCDA B C D is a parallelogram satisfying AB=7,BC=2A B=7, B C=2, and ∠DAB=120∘\angle D A B=120^{\circ}. Parallelogram ECFAE C F A is contained in ABCDA B C D and is similar to it. Find the ratio of the area of ECFAE C F A to the area of ABCDA B C D.
Plain-text mathematical notation (without MathML)
ABCD is a parallelogram satisfying AB=7,BC=2, and ∠DAB=120^(∘). Parallelogram ECFA is contained in ABCD and is similar to it. Find the ratio of the area of ECFA to the area of ABCD.
Original LaTeX notation
$A B C D$ is a parallelogram satisfying $A B=7, B C=2$, and $\angle D A B=120^{\circ}$. Parallelogram $E C F A$ is contained in $A B C D$ and is similar to it. Find the ratio of the area of $E C F A$ to the area of $A B C D$.

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Source and history

task_id
67098cd4-e0b3-572d-8339-23f634c61011
task_key
test--67098cd4-e0b3-572d-8339-23f634c61011
task_revision_id
1
config / split
/ test

Official source

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