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Answer :
Let the length and breadth of the plot be 11x m and 4x m respectively.
Fencing all around = perimeter of the rectangular plot
Perimeter of the plot = \(\frac { 75000 }{ 100 }\) = 750 m
2(length + breadth) = 750
\(\Rightarrow\)2(11x + 4x) = 750
\(\Rightarrow\)2(15x) = 750
\(\Rightarrow\) 30x = 750
\(\Rightarrow\) x = 750 ÷ 30 = 25
Hence we have,
length =11x= 11 × 25 m = 275 m
and breadth = 4x=4 × 25 m = 100 m