Final answer:
The area of the trapezium is found using the formula for the area of a trapezium multiplied by the distance between the parallel sides, then divided by 2. With given values, the area calculates to 275 cm², none of the options listed match this result.
Step-by-step explanation:
The student asked to find the area of a trapezium. To calculate the area of a trapezium when given the sum of the two parallel sides and the distance between them, we use the formula:
Area = (sum of parallel sides) × (distance between them) / 2
In this case, the sum of the parallel sides is given as 50 cm and the distance (height) between them is 11 cm. So, we get:
Area = (50 cm × 11 cm) / 2
Area = 550 cm² / 2
Area = 275 cm²
Therefore, the correct answer is 275 cm², which is not one of the provided options, indicating a possible typo in the options. To correct this, we must consider the actual calculation over the options listed (A, B, C, D).