Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of Rs 7 per m²

Question

Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of Rs 7 per m 2

Philoid · Accepted Answer

a = 50, b = 65, c = 65

s = (a + b + c)/2

⇒ s = (50 + 65 + 65)/2 = 180/2 = 90.

Area(Δ) = √s(s-a)(s-b)(s-c)

⇒ Area(Δ) = √90(90-50)(90-65)(90-65)

⇒ Area(Δ) = √90×40×25×25

⇒ Area(Δ) = 1500m²

Cost of laying grass = Area(Δ)×Cost per m²

⇒ Cost of laying grass = 1500×7 = Rs.10500

Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of Rs 7 per m2