Question 1: In a trapezium, the lengths of the parallel sides are 8 cm and 12 cm. If the height is 5 cm, calculate its area.

Answer: 50

Question 2: A trapezium has bases of 10 cm and 14 cm, and the height is 6 cm. Find its area.

Answer: 72

Question 3: A trapezium has non-parallel sides of lengths 7 cm and 9 cm, with a height of 4 cm. If the longer base is 10 cm, find the length of the shorter base assuming the non-parallel sides are perpendicular to the bases.

Answer: 6

Question 4: Construct a trapezium with bases measuring 6 cm and 10 cm, and non-parallel sides of 5 cm each. Label all sides.

Answer: Constructed diagram with correct labeling

Question 5: Calculate the perimeter of a trapezium with the following side lengths: 7 cm, 9 cm, 4 cm, and 6 cm.

Answer: 26

Question 6: A trapezium has bases of 8 cm and 14 cm, with non-parallel sides of 5 cm and 6 cm. If the height is 4 cm, find the area.

Answer: 96

Question 7: A trapezium's area is 84 cm². The lengths of the parallel sides are 7 cm and 11 cm. Find the height of the trapezium.

Answer: 6

Question 8: A trapezium is drawn with bases of 9 cm and 15 cm, and a height of 6 cm. Calculate its area and perimeter if the non-parallel sides are 5 cm and 7 cm respectively.

Answer: {"area":"72","perimeter":"36"}

Question 9: A trapezium has bases measuring 10 cm and 16 cm. The non-parallel sides are equal in length, each measuring 7 cm. Calculate the height of the trapezium.

Answer: 6

Question 10: Identify and correct the mistake: A student claims that the area of a trapezium with bases 8 cm and 12 cm and height 4 cm is 40 cm².

Answer: Incorrect; correct area = (8+12)/2 * 4 = 20

Question 11: Challenge: A trapezium has bases of 9 cm and 13 cm, and the non-parallel sides are 6 cm and 8 cm. Find the area, given the height is 5 cm.

Answer: 50