find the cost of lyinfg grassin triangular fieldof 50m ,65m,65m,at the rate of rs 7 per m

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Solution

$Let a, b and c are the sides of the triangular field . then a = 50 m; b = 65 m; c = 65 m Semi - perimeter, s = \frac{a + b + c}{2} \Rightarrow s = \frac{50 + 65 + 65}{2} \Rightarrow s = \frac{180}{2} = 90 m Area of △ = \sqrt{s (s - a) (s - b) (s - c)} = \sqrt{90 (90 - 50) (90 - 65) (90 - 65)} = \sqrt{90 \times 40 \times 25 \times 25} = \sqrt{3600 \times 625} = (60 \times 25) m^{2} = 1500 m^{2} Cost of laying grass on 1 m^{2} area = Rs 7.00 So, cost of laying grass on 1500 m^{2} area = Rs (7 \times 1500) = Rs 10500$

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