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Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of 7 per ². |
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Answer» de 1 of triangular field = 50 mSide 2 of triangular field = 65 mSide 3 of triangular field = 65 m_______________________________To FindCost of laying GRASS in the triangular field at the rate of Rs. 7 per m²_______________________________SolutionFirst, we need to find the area of the triangular field in order to find the cost of laying grass. Since the formula Area = is not applicable here, we'll use Heron's Formula.Heron's Formula → Here,s = Semi Perimetera = Side 1b = Side 2c = Side 3So let's find the semi perimeter of the triangular field first.⇒ s = (50 + 65 + 65) ÷ 2⇒ s = 180 ÷ 2⇒ s = 90 m∴ Semi perimeter = 90 m.Now, let's APPLY the Heron's Formula.∴ Area of Triangular Field = 1500 m²Cost of laying grass at the rate of Rs. 7 per m² = 1500 × 7 = Rs. 10500∴ The cost of laying grass in the triangular field at the rate of Rs. 7 per m² would be Rs. 10500._______________________________ |
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