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The length of a rectangular plot is 60% more than its breadth. If the diffrent between the length and the breadth of that rectangle is 24 cm, what is the area of the rectangle?

  • A.2400 sq.cm
  • B.2480 sq.cm
  • C.2560 sq.cm
  • D.None of these

Answer: C

Write the length in terms of the breadth and use the given difference.

\[ l = 1.6b \quad\Longrightarrow\quad l - b = 0.6b = 24 \]

\[ b = 40 \text{ cm}, \qquad l = 64 \text{ cm} \]

\[ A = 64 \times 40 = 2560 \text{ cm}^{2} \]

"60% more than the breadth" means \( 1.6b \), so the difference is 60% of the breadth, not of the length - taking 24 as 60% of the length would give \( l = 40 \) and a smaller rectangle.

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