Find the cost of laying grass in a triangular field of sides 50 m, 65

1.	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.
Answer» According to the question, Sides of the triangular field are 50 m, 65 m and 65 m. Cost of laying grass in a triangular field = Rs 7 per m² Let a = 50, b = 65, c = 65 s = (a + b + c)/2 ⇒ s = (50 + 65 + 65)/2 = 180/2 = 90. Area of triangle = √s(s-a)(s-b)(s-c) = √90(90-50)(90-65)(90-65) = √90×40×25×25 = 1500m² Cost of laying grass = Area of triangle × Cost per m² = 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.

Answer»

According to the question,

Sides of the triangular field are 50 m, 65 m and 65 m.

Cost of laying grass in a triangular field = Rs 7 per m²

Let a = 50, b = 65, c = 65

s = (a + b + c)/2

⇒ s = (50 + 65 + 65)/2

= 180/2

= 90.

Area of triangle = √s(s-a)(s-b)(s-c)

= √90(90-50)(90-65)(90-65)

= √90×40×25×25

= 1500m²

Cost of laying grass = Area of triangle × Cost per m²

= 1500×7

= Rs.10500