The parallel sides of a trapezium are 15 cm and 16 cm and its area is 961 cm2. What is the distance between parallel sides?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 62 cm.
The parallel sides of a trapezium are 15 cm and 16 cm.
The area of the trapezium = 961 cm2
The area of a trapezium = (1/2) × (Sum of its parallel sides) × (Distance between parallel sides)
Let the distance between parallel sides = D cm
So, (1/2) × (15 + 16) × D = 961
⇒ (1/2) × 31 × D = 961
⇒ D = 32
Therefore, the distance between parallel sides is 32 cm.