A rectangle expands with time. The diagonal of the rectangle increases at a rate of 1 cm/min and the
length increases at a rate of 1
2
cm/min.
(a) How fast is the rectangle width increasing when the width is 3 cm and the length is 4 cm.
(b) How fast is the area of the rectangle increasing when the width is 3 cm and the length is 4 cm.
(c) How fast is the perimeter of the rectangle increasing when the width is 3 cm and the length is 4
cm.



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