The length \( a \) of a rectangle is decreasing at the rate of \( \...
The length \( a \) of a rectangle is decreasing at the rate of
\( \mathrm{P} \)
\( 6 \mathrm{~cm} / \mathrm{sec} \) and the width \( b \) is increasing at the rate of
W
\( 5 \mathrm{~cm} / \mathrm{sec} \). When \( a=7 \mathrm{~cm} \) and \( b=4 \mathrm{~cm} \). Find the rate of changes of perimeter and area of the rectangle respectively.
(1) \( 11 \mathrm{~cm}^{2} / \mathrm{sec} \) and \( 2 \mathrm{~cm} / \mathrm{sec} \)
(2) \( -2 \mathrm{~cm} / \mathrm{sec} \) and \( 11 \mathrm{~cm}^{2} / \mathrm{sec} \)
(3) \( 11 \mathrm{~cm}^{2} / \mathrm{sec} \) and \( -2 \mathrm{~cm} / \mathrm{sec} \)
(4) \( -11 \mathrm{~cm}^{2} / \mathrm{sec} \) and \( -2 \mathrm{~cm} / \mathrm{sec} \)
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