Question

the cost of fencing a triangular plot with side in the ratio 5:12:13 is ₹25 per meter if the total cost incurred to fence the plot is ₹2250, then the area of the plot is

1. 270m^2
2. 180m^2
3.90m^2
4. 30m^2

Answer 1

Answer:

perimeter of the plot =2250/25=90

Let the sides be 5x, 12x and 13x

5x+12x+13x=30x=90

x=3

s=(5+12+13)x/2=15x

A=√{s(s-a)(s-b)(s-c)}

=√{15x.10x.3x.2x}

√900.x.x .x.x=30x.x=30×3×3=270 Ans