Question

a flora design on a floor is made up of 16 triangle the sides of the triangle being 9 cm,28cm,35cm, find the cost of polishing the tiles at the rate of 50passe per cm square ​

Answer 1

a=9cm, b= 28cm, c= 35cm

so it's semi perimeter(s) will be

s= a+b+c/2 = 9+28+35/2=72/2=36cm

9+28+35/2=72/2=36cm

using Heron's formula

Area=√s(s-a)(s-b)(s-c)

= √36(36-9)(36-28)(36-35)

= √36(27)(8)(1)

=√6×6×3×3×3×2×2×2×1

=6×3×2√3×2×1

=36√6

therefore area of one tile = 36√6cm² (or you can write 36√6 as 88.2cm²)

area of one tile = 36√6cm² or 88.2 cm²

area of 16 tiles = 16 × 88.2 = 1411.2 cm²

cost of polishing the tiles at the rate of 50 paise per cm² will be:

=1411.2×0.50 ( 50 paise = 0.50 rupees)

=Rs. 705.60

therefore Rs.705.60 is the answer.