Final answer:
Without specific measurements, we cannot determine the area of the rhombus from the options provided. To calculate the area of a rhombus, one typically uses the formula involving the lengths of its diagonals.
Step-by-step explanation:
The student's question seeks the area of a rhombus graphed on a coordinate plane. To find the area, we need either the base and height of the rhombus or the lengths of the diagonals. Unfortunately, without specific coordinates or measurements, we cannot provide a definitive answer from the options given (24, 28, 32, 48 square units). Typically, the area of a rhombus is found using the formula A = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals. If this information were available, one could plug in the values to find the area. For example, if the diagonals were 8 units and 6 units, the area would be A = (8 * 6) / 2 = 24 square units.