Question

a mathematical design consists of eight tiles each of the which is in the shape of an triangle find the area of the design also find the cost of polishing the design at the rate of rs per cm sq​

Answer 1

Answer:

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