Question

10. A floor design on a floor is made up of 8 tiles which are triangular The side of the triangle being 36 cm 17 cm and 25 cm find the cost of polishing the tile at the rate of 50 p per cm2​

Answer 1

Step-by-step explanation:

Given:

⇒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