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The area of a rectangular park is 2400 sq. metres. If the length of the park is decreased by 5 metres, the area decreases by 200 sq. metres. The perimeter of the park is

  • A.200 m
  • B.150cm
  • C.180cm
  • D.100cm

Answer: A

Cutting 5 m from the length removes a strip 5 m long and \( b \) wide.

\[ 5b = 200 \quad\Longrightarrow\quad b = 40 \text{ m} \]

\[ l = \frac{2400}{40} = 60 \text{ m} \]

\[ \text{perimeter} = 2(60 + 40) = 200 \text{ m} \]

The lost strip has the full breadth of the park, which is what makes the breadth recoverable from the area change alone.

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