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A floral design on a floor is made up of 16 tiles which are triangular, the sides of the triangle being 9 cm, 28 cm and 35 cm (see figure). Find the cost polishing the tiles at the rate of Rs.50 paise per cm2.
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Answer :

Given,
the sides of a triangular tile are 9 cm, 28 cm and 35 cm.

For each triangular tile, we have,
s=a+b+c2
? s=9+28+352=722=36cm

Now, Area of triangle
= 36(36?9)(36?28)(36?35)
(Since, Heron's formula [area = s(s?a)(s?b)(s?c)])

= 36×27×8×1
= 6×6×9×3×4×2×1
= 6×3×26cm2
= 366cm2
? Total area of 16 such titles
= 16 × 366
= 16 × 36 × 2.45 cm2 = 1411.20 cm2

Total cost of ploshing the titles at the rate of Rs.50 paise per cm2
= Rs. 50100×1411.20 = Rs.705.60