A rectangular sheet of metal when heated, its length decreases at the rate of \( 5 \mathrm{~cm} ...

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A rectangular sheet of metal when heated, its length decreases at the rate of \( 5 \mathrm{~cm} / \mathrm{sec} \) and width increases at the rate of \( 4 \mathrm{~cm} / \mathrm{sec} \).
Based on the above information answer the following questions:
When \( x=8 \mathrm{~cm} \) and \( y=6 \mathrm{~cm} \), the rate of change of the perimeter of the plate, is
(a) \( -2 \mathrm{~cm} / \mathrm{sec} \)
(b) \( 2 \mathrm{~cm} / \mathrm{sec} \)
(c) \( -1 \mathrm{~cm} / \mathrm{sec} \)
(d) \( 1 \mathrm{~cm} / \mathrm{sec} \)
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