Final answer:
The information provided is insufficient to calculate the area of rhombus ABCD as critical dimensions of the rhombus are not given. We would need the diagonals, the base and height, or the side and an angle to compute the area. The mention of significant figures reminds us to express the final area with the correct number of significant figures once the dimensions are known.
Step-by-step explanation:
To find the area of a rhombus, ABCD, we need the measurements of either the diagonals of the rhombus, the base and height, or the side length and one of the acute angles. Unfortunately, the given information does not directly provide any of these metrics for a rhombus. The equation D = √2 Rh suggests a relationship involving a circular dimension, which doesn't directly apply to rhombuses, and the mention of squares and rectangles corresponds to area calculations for those shapes rather than a rhombus. One general way to calculate the area of a rhombus is through the formula area = base × height (if 'base' and 'height' are known), or area = (diagonal1 × diagonal2)/2 (if diagonals are known).
However, assuming this could be an extension from the concept of significant figures, as the latter part of the information discusses, the area should be expressed with the correct number of significant figures. Again the provided information lacks specifics, but it mentions that certain exact numbers, like conversion factors, do not affect the count of significant figures. We need more specific details about the rhombus to calculate its area.
Without the necessary dimensions of rhombus ABCD, we cannot provide a numeric answer. We would need either the lengths of both diagonals of the rhombus, the length of a side and perpendicular distance from that side to the opposite side ('height'), or the length of a side and an acute angle to apply trigonometric methods for the area calculation.