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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