Arectangle is formed whose length is twice the width. it is enlarged to a similar rectangle as the width changes at a rate of 4 inches per minute. when the width is 10 inches, how fast is the area of the rectangle changing

Explanation:

Given that,

To find,

Rate of change of area,

Let l is the length and b is the breadth of the rectangle. The area of the rectangle is given by :

Differentiating above equation wrt t

When b = 10 in

So, the area of rectangle is changing at the rate of 160 inches per minute.

6/12=1/2

step-by-step explanation: