Find the area of the triangle. Round your answer to one decimal place. \[ C=103^{\circ} 15^{\prime}, \quad a=15, \quad b=28 \]

Step 1 ：We are given a triangle with two sides and the included angle. The sides are a = 15 units and b = 28 units. The included angle C = 103 degrees 15 minutes.

Step 2 ：We need to convert the angle from degrees and minutes to decimal degrees. 1 degree = 60 minutes, so 15 minutes = 15/60 = 0.25 degrees. Therefore, C = 103.25 degrees.

Step 3 ：The formula to find the area of a triangle when two sides and the included angle are given is: \(Area = \frac{1}{2}ab\sin(C)\)

Step 4 ：Substitute the given values into the formula: a = 15, b = 28, and C = 103.25 degrees.

Step 5 ：Convert the angle from degrees to radians: C_rad = 1.8020524526841453

Step 6 ：Calculate the area: Area = 204.4 square units

Step 7 ：Final Answer: The area of the triangle is \(\boxed{204.4}\) square units