A square field and an equilateral triangular park have an equal perimeters of the cost of ploughing the field at rate of rupees 5 per metre square is rupees 720 find the cost of maintaining the park at the rate of rupees 10 per metre square
Answers
Answer:
Step-by-step explanation:
Given
Perimeter of square field = perimeter of triangular park
Therefore cost of ploughing the field is ₹5 per.m ^2
Total cost for ploughing the field is ₹720
Hence area of field is
720/5
144m^2
The side of square is 12 m .
As give both perimeter are equal
Perimeter of square will be 4s that is 48m
So 48m = perimeter of square park
48 = 3s
S = 16m
To find the cost of maintenance of park =
Area × rate per m^2
Area of equilateral triangular park =√3/4×s^2
√3/4×16×16
√3/4×256
√3×64. Taking √3= 1.73
110.72m^2
Cost of maintaining the park
₹10per m^2
10 ×110.72
₹ 1107.2
The cost of maintaining the park is ₹1107.2 .
The cost of maintaining the park is Rs 1107.20.
For explanation , see the pictures.
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