Q. 184.1( 15 Votes )

A floral design on a floor is made up of 16 tiles, each triangular in shape having sides 16 cm, 12 cm, and 20cm. Find the cost of polishing the tiles at Re 1 per sq cm.


Answer :

Let the sides of the triangle be:


a = 16 cm


b = 12 cm


And,


c = 20 cm


Now we have to find out the value of s:


s =


=


= = 24 cm


We know that,


Area of triangle =


Therefore,


Area of triangular tile =


=


= 2 × 2 × 2 × 2 × 2 × 3


= 96 cm2


Therefore,


Area of one tile = 96 cm2


Hence,


Area of 16 such tiles = 96 × 16 = 1536 cm2


Now,


Cost of polishing the tiles per square cm = Rs. 1


Therefore,


Total cost of polishing the tiles = 1 × 1536


= Rs. 1536


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