Question

25:17:12. Find the area of the field. Also, find the cost of ploughing the
7. The perimeter of a triangular field is 540 m and its sides are in the ratio
m?
field at 5 per m​

Answer 1

Answer:

Step-by-step explanation:

The ratio of the sides of the triangle is

25:17:12

Perimeter of the triangle is 540m

Let the sides of the triangle be 25x,17x,12x

So perimeter of the triangle=25x+17x+12x=540

=>. 54x=540

=> x=540/54=10

So the sides are 250m,170m,120m

So by Heron's formula

Area=√s(s-a)(s-b)(s-c)

=√270×(270-250)(270-170)(270-120)

=√270×20×100×150

=√27×10×2×10×10×10×15×10

=100√27×2×10×15

=100×90=9000 m²

The cost of ploughing =₹5/m²

So the total cost of ploughing the field=9000×5=₹45000

Thus, the area of the field is 9000 m²

and cost of ploughing the field is₹45000.