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 Rs100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?

Explanation

To find the dimensions of the rectangular plot reserved for the school, we can follow these steps:

### Step 1: Understand the ratio of length and breadth
Let the length of the plot be \( L \) and the breadth be \( B \). According to the problem, the ratio of length to breadth is given as:
\[ L : B = 11 : 4 \]
This can be expressed in terms of a variable \( x \):
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