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Omni-MATH / In rectangle ABCD with area 1, point M is selected on (AB)¯ and points X,Y are selected on (CD)¯ such that AX<AY. Suppose that AM=BM. Given that the area of triangle MXY is …

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problem

In rectangle ABCDA B C D with area 1, point MM is selected on AB¯\overline{A B} and points X,YX, Y are selected on CD¯\overline{C D} such that AX<AYA X<A Y. Suppose that AM=BMA M=B M. Given that the area of triangle MXYM X Y is 12014\frac{1}{2014}, compute the area of trapezoid AXYBA X Y B.
Plain-text mathematical notation (without MathML)
In rectangle ABCD with area 1, point M is selected on (AB)¯ and points X,Y are selected on (CD)¯ such that AX<AY. Suppose that AM=BM. Given that the area of triangle MXY is (1)/(2014), compute the area of trapezoid AXYB.
Original LaTeX notation
In rectangle $A B C D$ with area 1, point $M$ is selected on $\overline{A B}$ and points $X, Y$ are selected on $\overline{C D}$ such that $A X<A Y$. Suppose that $A M=B M$. Given that the area of triangle $M X Y$ is $\frac{1}{2014}$, compute the area of trapezoid $A X Y B$.

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Source and history

task_id
6d6a6caf-aa9b-512b-bc44-5d6e98c95865
task_key
test--6d6a6caf-aa9b-512b-bc44-5d6e98c95865
task_revision_id
1
config / split
/ test

Official source

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