The sides of a triangular board are 13 meters, 14 meters

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The sides of a triangular board are 13 meters, 14 meters and 15 meters. The cost of paining it at the rate of Rs. 8.75 per m² is ?

1. Rs. 688.80
2. Rs. 735
3. Rs. 730.80
4. Rs. 722.50

Correct Option: B

s = (13 + 14 + 15 ) / 2 = 21,
s-a = 8 ,
s-b = 7,
s-c= 6

∴ Area to be painted = √ [s(s-a) (s-b) (s-c)]
=√ [21 x 8 x 7 x 6] m²
= 84 m²

∴ Cost of painting = Rs. (84 x 8.75) = Rs. 735