Question

. The sides of a triangle shaped sheet are in the ratio 11:19:24 and its perimeter is 540cm. Find the cost of painting the sheet at the rate of 30 per (Take root 2 = 1.41)

Answer 1

Step-by-step explanation:

Side ratio are

11:19:24

sides are

11x, 19x, 24x

perimeter of rectangle

11x+19x+24x=540

54x=540

x=540/54=10

so sides are

11*10=110

19*10=190

24*10=240

Now Area of triangle

√s(s-a) s-b) (s-c)

s=(a+b+c)/2=(110+190+240)/2=540/2=270

area=√270(270-110)(270-190)(270-240)

=√(270)*(160)*(80)*(30)

=√(3*3*3*10)(2*2*2*2*10)(2*2*2*10)(3*10)

=3*3*4*2*10*10√2

=7200√2

=7200*1.41

=10152cm

So

cost @30p one side =10152*30=304560p or Rs 3045.60

both sides =2*3045.60=609120p or Rs 6091.20

I think it is helpful for you