Question : The lengths of the two parallel sides of a trapezium are 16 m and 20 m, respectively. If its height is 10 m, its area in square metres is:

Option 1: 360

Option 2: 260

Option 3: 240

Option 4: 180

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 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 an isosceles trapezium is 176 cm² and the height is $\frac{2}{11}$th of the sum of its parallel sides. If the ratio of the length of the parallel sides is 4 : 7, then the length of a diagonal (in cm) is:

Option 1: $28$

Option 2: $\sqrt{137}$

Option 3: $2\sqrt{137}$

Option 4: $24$

Question : The four sides of a quadrilateral are in the ratio of 2 : 3 : 4 : 5 and its perimeter is 280 metres. The length of the longest side is:

Option 1: 100 metres

Option 2: 150 metres

Option 3: 175 metres

Option 4: 180 metres

Question : Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse as observed from the two ships are 30° and 45°, respectively. If the lighthouse is 100 m high, the distance between the two ships is: (take $\sqrt{3}= 1.73$)

Option 1: 173 metres

Option 2: 200 metres

Option 3: 273 metres

Option 4: 300 metres