Answer:
266634.11 m^2
Step-by-step explanation:
The following information is given in the question
The ratio of the side of the triangular fields is 6:9:10
And, the perimeter is 2500m
We need to find the area of that field
So
Let us assume the 3 sides be x
Here so the sides be 6x,9x, 10x
Now the perimeter = sum of the length of all sides
2500 = 6x + 9x + 10x
2500 = 25x
x = 100
The three sides would be 600,900 and 1000
Now the area of that field would be
As we know that
The Area of the triangle as per the Heron Formula is
[tex]= \sqrt{s(s-a)(s-b)(s-c)} \\\\= \sqrt{1250(1250-600)(1250-900)(1250-1000)} \\\\= \sqrt{1250(650)(350)(250)} \\\\= \sqrt{71093750000}[/tex]
= 266634.11 m^2
