Question

A floral design on a floor is made up of 16 liters which are triangular , the sides of the triangle being 9 cm , 28 cm and 35 cm. Find the cost of polishing the tiles at the rate of 50p per cm^2?

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

Answer 2

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