Question

Fig. 12.16 2
Z
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 cm?​

Answer 1

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Answer 2

Answer:

⇒a=35cm,b=28cm,c=9cm

⇒Semi perimeter of tile =

2

a+b+c

⇒Semi perimeter of tile =

2

35+28+9

=36cm

⇒Area of Δ=

s(s−a)(s−b)(s−c)

⇒=

36(36−35)(36−28)(36−9)

=

36×1×8×27

⇒=36×2.45=88.2 cm

2

⇒Area of total 16 tiles =16×88.2=1411.2 cm

2

⇒Cost of polishing per cm

2

area =50p

⇒Cost of polishing 1411.2cm

2

area =Rs. 50×1411.2 =Rs. 705.60