If the length and breadth of a room are increased (V) by \( 1 \mathrm{~m} \) each, its area woul...

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If the length and breadth of a room are increased
(V) by \( 1 \mathrm{~m} \) each, its area would increase by \( 31 \mathrm{~m}^{2} \). If the length is increased by \( 1 \mathrm{~m} \) and breadth is decreased by \( 1 \mathrm{~m} \), the area would decrease by \( 9 \mathrm{~m}^{2} \). Find the area of the floor of the room, in \( \mathrm{m}^{2} \).
(a) 200
(b) 209
(c) 250
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