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A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangles are 9cm ,28cm ,35cm.find the cost of polishing the tiles

at the rate of 50paise per cm square?



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Unless there is a trick, it is simple appication of heron's law for calculating area of triangle and multiply with 16.  If we know how they are arranged, may be we can simplify our calculations.

 Semi\ perimeter\ =\ s\ =\ (\frac{9+28+35}{2} = 36 \\ \\ Area\ =\ \sqrt{s (s-a)(s-b)(s-c)} = \sqrt{36*27*8*1} = 88.18 cm² \\ \\ cost\ =\ 16\ *\ area\ *\ Rs\ 0.50\ =\ Rs\ 705.45 \\ \\

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