A field is in the shape of a trapezium \( \mathrm{ABCD} \). \( \mathrm{AB} \| \mathrm{DC} \) and...

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A field is in the shape of a trapezium \( \mathrm{ABCD} \).
\( \mathrm{AB} \| \mathrm{DC} \) and \( \angle \mathrm{ABC}=90^{\circ}, \angle \mathrm{DAB}=60^{\circ} \). Four sectors are formed with centers \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) and \( \mathrm{D} \). If the radius of each sector is \( 17.5 \mathrm{~m} \), then find the
(i) total area of the four sectors.
(ii) area of remaining portion given that \( \mathrm{AB}=75 \mathrm{~m} \) and \( \mathrm{CD}=50 \mathrm{~m} \).
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