Find the area of the region bounded by the y-axis, the line y=6, and the line y = 1/2.

Solution:

As region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis.

We consider a line, one dimensional if it's thickness is negligible.

So, Line is two dimensional if it's thickness is not negligible becomes a quadrilateral.

So, Area (region bounded by y-axis, the line y=6, and the line y=1/2 is a line segment of definite length on y-axis) = Area of line segment between [, y=6 and y=1/2.] = 6-1/2=11/2 units if we consider thickness of line as negligible.