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a rectangle has one side of 8 cm. how fast is the area of the rectangle changing at the instant when the other side is 13 cm and increasing at 2 cm per minute?

Respuesta :

30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute.

Area of a Rectangle is what?

Rectangle's area is equal to its length times its width.

Given,

A rectangle has a 10 cm side.

  • We must determine how quickly the rectangle's area changes while one side is 12 cm and growing at a rate of 3 cm per minute.
  • The formula for this is A=10x.
  • Now make a distinction based on t.
  • 10 dx/dt = dA/dt
  • at a rate of 3 centimeters per minute
  • dx/dt=3
  • dA/dt=10 (3) (3)
  • dA/dt=30

Consequently, 30 is the area of the rectangle that changes at the instant when the other side is 12 cm and growing at a rate of 3 cm per minute.

To learn more on Rectangle click here:

brainly.com/question/20693059

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