principle area decreasing but pressure is increasing common daily using example

A common daily example of principle area decreasing while pressure increases is squeezing a toothpaste tube.

When you apply pressure to the toothpaste tube by squeezing it, the area through which the toothpaste can flow decreases. In other words, the opening through which the toothpaste comes out becomes smaller as you apply pressure on the tube.

At the same time, as you squeeze the tube, the pressure inside the tube increases. This increase in pressure is due to the reduction in the available space for the toothpaste to flow out. The more you squeeze, the smaller the opening becomes, and the higher the pressure inside the tube gets.

So, in summary, when you squeeze a toothpaste tube, the principle area (the opening through which the toothpaste can flow) decreases, while the pressure inside the tube increases.