Question : The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 cm², then find the length of each of the parallel sides (in cm).

Option 1: 27, 15

Option 2: 31, 19

Option 3: 29, 17

Option 4: 24, 12

Question : The area of a trapezium-shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?

Option 1: 60 feet

Option 2: 35 feet

Option 3: 40 feet

Option 4: 65 feet

Question : The lengths of the two parallel sides of a trapezium are 28 cm and 40 cm. If the length of each of its other two sides is 12 cm, then the area (in cm²) of the trapezium is:

Option 1: $312\sqrt{5}$

Option 2: $408\sqrt{3}$

Option 3: $204\sqrt{3}$

Option 4: $504\sqrt{3}$

Question : The ratio of the length of the parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm$^2$ the sum of the length of the parallel sides is:

Option 1: 15 cm

Option 2: 36 cm

Option 3: 42 cm

Option 4: 60 cm