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Omni-MATH / Trapezoid ABCD, with bases AB and CD, has side lengths AB=28,BC=13,CD=14, and DA=15. Let diagonals AC and BD intersect at P, and let E and F be the midpoints of AP and BP, respecti…

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problem

Trapezoid ABCDA B C D, with bases ABA B and CDC D, has side lengths AB=28,BC=13,CD=14A B=28, B C=13, C D=14, and DA=15D A=15. Let diagonals ACA C and BDB D intersect at PP, and let EE and FF be the midpoints of APA P and BPB P, respectively. Find the area of quadrilateral CDEFC D E F.
Plain-text mathematical notation (without MathML)
Trapezoid ABCD, with bases AB and CD, has side lengths AB=28,BC=13,CD=14, and DA=15. Let diagonals AC and BD intersect at P, and let E and F be the midpoints of AP and BP, respectively. Find the area of quadrilateral CDEF.
Original LaTeX notation
Trapezoid $A B C D$, with bases $A B$ and $C D$, has side lengths $A B=28, B C=13, C D=14$, and $D A=15$. Let diagonals $A C$ and $B D$ intersect at $P$, and let $E$ and $F$ be the midpoints of $A P$ and $B P$, respectively. Find the area of quadrilateral $C D E F$.

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