Calculate Deltoid Area: Given Diagonal AC=7 and Side AB=4

To determine if we can calculate the area of the deltoid, we use the formula for the area of a kite: $\text{Area} = \frac{1}{2} \times \text{Diagonal}_1 \times \text{Diagonal}_2$. We are given one diagonal $AC = 7$, and one side $AB = 4$. However, the formula requires both diagonals. Without the length of the other diagonal $BD$, or enough information to deduce it, it is impossible to compute the area.

Therefore, it is not possible to calculate the area of the deltoid with the information provided.