The area of a rectangle is found by multiplying its length and width, but without further details about the rectangle's dimensions, we cannot calculate the area of the shaded rectangle with only one vertex provided.
To calculate the area of the shaded rectangle, we need to know the dimensions of the rectangle, specifically its length and width. The problem only provides one point, R(6,0), so without additional information such as the opposite vertex position or the length and width measurements, it's impossible to provide a numerical answer. However, if you had the other vertex or the sides' measures, you would multiply the length by the width to find the rectangle's area.
The formula to find the area of a rectangle is Area = length × width. This remains true in any context, whether we are discussing geometry in mathematics or applications in physics, such as finding the cross-sectional area or the work done by a force over distance in a pressure-volume diagram, as illustrated in the examples provided.
In conclusion, without additional details about the rectangle's dimensions, it's not possible to calculate its area.