there is a narrow rectangular plot reserved for a school in a Maholi village the length and breadth of the plot are in the ratio 11 : 4 at the rate 100 rupees per metre it will cost the village panchayat 75000 to plot fence the plot what are the dimension of the plot
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Step-by-step explanation:
There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate ₹100 per metre it will cost the village panchayat ₹ 75000 to fence the plot. What are the dimensions of the plot?
Solution:
Let the common ratio between the length and breadth of the rectangular plot be x.
Hence, the length and breadth of the rectangular plot will be 11x and 4x respectively.
Perimeter of the plot = 2(Length + Breadth)
= 2(11x + 4x)
= 30x
It is given that the cost of fencing the plot at the rate of ₹100 per metre is ₹75,000.
100 × Perimeter = 75000
100 × 30x = 75000
3000x = 75000
Dividing both sides by 3000, we obtain
x = 25
Length = 11x
= (11 × 25) m
= 275 m
Breadth = 4x
= (4 × 25) m
= 100 m
Hence, the dimensions of the plot are 275 m and 100 m respectively.
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