The distance between the parallel sides of a trapezium is 18 cm. If the area of the trapezium is 1188 cm2 , then what is the sum of the lengths of the parallel sides?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 132 cm.
Let the lengths of the parallel sides be a and b.
We know the area of a trapezium is given by the formula:
⇒ Area = (1/2) × (sum of parallel sides) × (distance between them)
Substituting the given values:
⇒ 1188 = (1/2) × (a + b) × 18
Simplifying:
⇒ 1188 = 9 × (a + b)
Dividing both sides by 9:
⇒ 132 = a + b
Therefore, the sum of the lengths of the parallel sides is 132 cm.