There is a narrow rectangular plot in the mahuli village . The perimeter of plot is in the ratio of 11x:4x . Find the cost of painting the plot at the rate of 100 m2 , if the total cost is 75000 Rs .
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Let the length of the rectangular plot be 11x and breadth be 4x.
Rate of fencing per meter = ₹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
\Rightarrow x=\frac{75000}{3000}⇒x=
3000
75000
⇒ x = 25
Length of the plot = 11x = 11×25 = 275m
Breadth of the plot = 4x = 4×25 = 100m
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