Question

A plot in shape of an equilateral triangle has a perimeter of 36m. Find the area of the plot. (√3 = 1.7). Cost of ploughing the plot at the rate of ₹ 100 per sq. m. Cost of fencing the field at the rate of ₹ 25 per meter.

Answer 1

Step-by-step explanation:

Perimeter = 36 m

Cost of fencing = Perimeter x Rate

Cost of fencing = 36 x 25

Cost of fencing = Rs 900

Perimeter = 3 x side

36 m = 3 x side

Side = 12 m

Area = $\frac{\sqrt{3} }{4}*s^{2}$

Area = $\frac{\sqrt{3} }{4} *12^{2}$

Area = $\frac{\sqrt{3} }{4} * 144$

Area = 36√3

Area = 36 x 1.7

Area = 61.2 m²

Cost of ploughing = Area x Rate

Cost of ploughing = 61.2 x 100

Cost of ploughing = Rs 6120