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Linear Equations in One Variable
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05/08/2021 12:32 pm
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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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05/08/2021 12:34 pm
Let the length of the rectangular plot be 11x and breadth 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 question,
(30x × 100) = 75000
⇒ 3000x = 75000
⇒ x = \(\frac{75000}{3000}\)
⇒ x = 25
Length of the plot = 11x
= 11 × 25 = 275m
Breadth of the plot = 4 × 25
= 100 m.