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The length and breadth of a rectangular plot are in the ratio $ 11: 4$. The cost of fencing the plot with the barbed wire is $₹ 18000$ at the rate of $₹ 100$ per metre. What are the dimensions of the plot?
Given :
The length and breadth of a rectangular plot are in the ratio $11:4$.
The cost of fencing the plot with the barbed wire is Rs. 18000 at the rate of Rs. 100 per metre.
To find :
We have to find the dimensions of the plot.
Solution :
Let the length and breadth of the plot be $11x$ and $4x$ respectively.
This implies,
Total length of the barbed wire $= \frac{18000}{100} = 180 m$.
Perimeter of the rectangle $= 2(11x+4x)$
This implies,
$180 = 2(15x)$
$180 = 30x$
$x = \frac{180}{30}$
$x = 6$
The length of the rectangular plot $= 11(6) = 66 m$.
The breadth of the rectangular plot $= 4(6) = 24 m$.
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