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प्रश्न
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.
उत्तर
Given: The sides of the ground are a = 50 m, b = 65 m and c = 65 m.
Now, the semi-parameter(s) of the cost of levelling is:
2s = a + b + c
2s = 50 m + 65 m + 65 m
2s = 180 m
`s = (180 m)/2`
s = 90 m
Area of triangle = `sqrt(s(s - a)(s - b)(s - c))`
= `sqrt(90(90 - 50)(90 - 65)(90 - 65))`
= `sqrt(90 xx 40 xx 25 xx 25)`
= 3 × 2 × 10 × 25
= 6 × 250
= 1500 m2
The cost of laying grass 1 m2 area is Rs. 7.
Therefore, the cost of levelling grass per 1500 m2 = Rs. 7 × 1500 = Rs. 10500
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