Question

If the area of a trapezium is 32 cm² and distance between its parallel sides is 8 cm; the sum of the length of its parallel sides is ______.

Options

• 4 cm

• 16 cm

• 8 cm

• 12 cm

Answer 1

If the area of a trapezium is 32 cm² and distance between its parallel sides is 8 cm; the sum of the length of its parallel sides is 8 cm.

Explanation:

The area of a trapezium is \[\frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height} = 32\text{ cm}^2\]. With a height of 8 cm, the sum of the parallel sides is \[\frac{32 \times 2}{8} = 8\text{ cm}\].