The area of a trapezium is 100 cm2. If the distance between the parallel sides of the trapezium is 10 cm, then what is the sum of the lengths of the two parallel sides ?
Answer & explanation
Correct answer: option 2
We know that,
Area of trapezium = \(\frac{1}{2}\) × (sum of parallel sides) × (distance between parallel sides)
Given,
The area of a trapezium is 100 cm².
The distance between the parallel sides of the trapezium is 10 cm.
So,
Let the value of the sides of trapezium is x and y.
Putting the given values, we get:
100 = \(\frac{1}{2}\) × (x + y) × 10
Simplifying the above equation, we get:
(x + y) = 20