The length and breadth of a rectangle are $x \text{ cm}$ and $y \text{ cm}$ respectively. If the length decreases at the rate of $5 \text{ cm/min}$ and the breadth increases at the rate of $3 \text{ cm/min}$,then the rates of change of the perimeter and area respectively when $x = 5 \text{ cm}$ and $y = 2 \text{ cm}$ are:

  • A
    $-4 \text{ cm/min}$ and $5 \text{ cm}^2\text{/min}$
  • B
    $-5 \text{ cm/min}$ and $3 \text{ cm}^2\text{/min}$
  • C
    $3 \text{ cm/min}$ and $5 \text{ cm}^2\text{/min}$
  • D
    $3 \text{ cm/min}$ and $-5 \text{ cm}^2\text{/min}$

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