If the length of a rectangle is x + 4 and the width of the rectangle is 2x + 9 what would the perimeter of the rectangle be? be
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Answer:
The area of the rectangle is increasing at a rate of .
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by
Derivative w.r.t 't',
Now, we have given
Substitute all the values,
Therefore, the area of the rectangle is increasing at a rate of .