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Omni-MATH / Let T be a trapezoid with two right angles and side lengths 4,4,5, and √(17). Two line segments are drawn, connecting the midpoints of opposite sides of T and dividing T into 4 reg…

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Let TT be a trapezoid with two right angles and side lengths 4,4,54,4,5, and 17\sqrt{17}. Two line segments are drawn, connecting the midpoints of opposite sides of TT and dividing TT into 4 regions. If the difference between the areas of the largest and smallest of these regions is dd, compute 240d240 d.
Plain-text mathematical notation (without MathML)
Let T be a trapezoid with two right angles and side lengths 4,4,5, and √(17). Two line segments are drawn, connecting the midpoints of opposite sides of T and dividing T into 4 regions. If the difference between the areas of the largest and smallest of these regions is d, compute 240d.
Original LaTeX notation
Let $T$ be a trapezoid with two right angles and side lengths $4,4,5$, and $\sqrt{17}$. Two line segments are drawn, connecting the midpoints of opposite sides of $T$ and dividing $T$ into 4 regions. If the difference between the areas of the largest and smallest of these regions is $d$, compute $240 d$.

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