Given information:
- The parallel sides of the trapezium are 2 cm apart.
- The sum of the parallel sides is 12 cm.

Formula for calculating the area of a trapezium:
The area of a trapezium can be calculated using the formula:
Area = (Sum of parallel sides * Distance between parallel sides) / 2

Calculating the area:
- Given that the sum of the parallel sides is 12 cm, let's assume the lengths of the parallel sides as 'a' and 'b'.
- Since the parallel sides are 2 cm apart, we can write the following equation:
a - b = 2 → a = b + 2

- The sum of the parallel sides is given as 12 cm, so we can write the following equation:
a + b = 12

- Substituting the value of 'a' from the first equation into the second equation, we get:
(b + 2) + b = 12
2b + 2 = 12
2b = 10
b = 5

- Substituting the value of 'b' back into the first equation, we get:
a - 5 = 2
a = 7

- Now we have the lengths of the parallel sides as 'a' = 7 cm and 'b' = 5 cm, and the distance between them as 2 cm.

- Plugging these values into the formula for the area of a trapezium, we get:
Area = (7 + 5) * 2 / 2
Area = 12 * 2 / 2
Area = 24 / 2
Area = 12 cm²

Conclusion:
The area of the trapezium with parallel sides 2 cm apart and a sum of 12 cm is 12 cm².

Sum of parallel side is =12cm
H=2
Area of trapezium=1/2 × h (a+b)
1/2 × 2 (12)
12 is answer