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 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 : In a trapezium ABCD, AB and DC are parallel sides and $\angle ADC=90^\circ$. If AB = 15 cm, CD = 40 cm and diagonal AC = 41 cm, then the area of the trapezium ABCD is:

Option 1: 245 cm²

Option 2: 240 cm²

Option 3: 247.5 cm²

Option 4: 250 cm²

Question : ABCD is a quadrilateral. The length of the diagonal AC is 24 cm. The sum of the perpendicular drawn from vertex B and D on the diagonal AC is 10 cm. What is the area of the quadrilateral?

Option 1: 240 cm²

Option 2: 180 cm²

Option 3: 120 cm²

Option 4: 90 cm²

Question : The area of two similar triangles is 324 cm² and 289 cm², respectively. What is the ratio of their corresponding altitudes?

Option 1: $\frac{17}{18}$

Option 2: $\frac{17}{19}$

Option 3: $\frac{19}{17}$

Option 4: $\frac{18}{17}$