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The length of a rectangular plot is 20 metres more than its breadth. If fencing the plot at Rs. 26.50 per metre costs Rs. 5300, what is the length of the plot in metres?

  • A.40 m
  • B.50 m
  • C.120 m
  • D.None of these

Answer: D

The fencing runs round the perimeter, so divide the cost by the rate.

\[ \text{perimeter} = \frac{5300}{26.50} = 200 \text{ m} \]

\[ 2\big((b + 20) + b\big) = 200 \quad\Longrightarrow\quad 2b + 20 = 100 \]

\[ b = 40 \text{ m}, \qquad l = 60 \text{ m} \]

The length is 60 m, which appears nowhere among the choices, so the answer is none of these. The 40 m on offer is the breadth - a genuine intermediate value, but not what was asked.

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