Related rates | perimeter and area of rectangle

In this calculus example, we calculate the rate at which the perimeter of a rectangle is changing with respect to time and the rate at which the area of a rectangle is changing with respect to time. To find the rate of change for the perimeter, we use the perimeter formula for a rectangle P = 2x + 2l and for the Area the area formula for a rectangle A = xy is used. We then differentiate each with respect to time, fill in the given information, and simplify. Each part of this process is explained and written step-by-step.