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.
Answers
Step-by-step explanation:
Given:
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.
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To Find:
the dimensions of the plot.
Solution:
Let the length of the rectangular plot be 11x
Let the breadth of the rectangular plot be 4x.
Rate of fencing per metre = ₹100
Total cost of fencing = ₹75000
Perimeter of the plot = 2(l+b) = 2(11x + 4x) = 2 × 15x = 30x
Total amount of fencing = (30x × 100)
According to the given details, the equation becomes
(30x × 100) = 75000
⇒ 3000x = 75000
⇒ x = 75000/3000
⇒ x = 25
Length of the plot = 11x = 11 × 25 = 275m
Breadth of the plot = 4 × 25 = 100m.
Final Answer:
Length of the plot = 275m
Breadth of the plot = 100m.