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 Fig. 12.18). Find the cost of polishing the tiles at the rate of 50p per cm²

Question

Philoid · Accepted Answer

Perimeter of each triangular shaped tiles = 28 + 9 + 35

Semi perimeter of each triangular shaped tiles =

=

= 36cm

Now,

Using Heron’s formula,

Area of =

=

= cm²

= 88.2cm²

Total area of 16 tiles = 16*88.2 cm² = 1411.2 cm²

Rate of polishing tiles = 50p per cm²

Hence,

Total cost of polishing tiles = Rs. 705.6

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 Fig. 12.18). Find the cost of polishing the tiles at the rate of 50p per cm2