Question

A floral design on a floor of a room is made up of 16 triangular
pieces of tiles. The sides of each piece of tile are 28 cm, 15 cm
and 41 cm. Find the cost of polishing the tiles at Rs 1.50 per
sq. cm.​

Answer 1

Semi-perimeter of 1 triangular tile  

=s

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

Using Heron's formula, Area of 1 triangular tile  

=√{s(s−9)(s−28)(s−35)}

=√{36(36−9)(36−28)(36−35)}

=√{36×27×8×1}

=88.2 cm^2   (approx.)        

⇒ Area of 16 triangular tiles =16×88.2=1411.2 cm^2.

Polishing of 1 cm^2 of area costs 50 p

Polishing of 1411.2 cm^2 of area would cost =50×1411.2=70560p= Rs 705.60

hope, this will help you.

Thank you______❤

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