Related rates implicit differentiation rectangle find dA/dt when given width and dw/dt calculus

In this calculus example, we use implicit differentiation to calculate the rate at which the area of a rectangle is increasing dA/dt when we are given the current width w and the rate at which the width is increasing dw/dt. Each part of this process is explained and written step-by-step.

An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 46 m per year at a time when the region is 300 m wide. How fast is the area changing at that point in time?