Question : The ratio of the length of parallel sides of a trapezium is 3 : 2. The shortest distance between them is 15 cm. If the area of the trapezium is 450 cm2, the sum of the length of parallel sides is:
Option 1: 15 cm
Option 2: 36 cm
Option 3: 42 cm
Option 4: 60 cm
Correct Answer: 60 cm
Solution :
Let the parallel sides of the trapezium be $3x$ cm and $2x$ cm.
We know,
Area of trapezium = $\frac{1}{2}$ × (sum of parallel sides) × (distance between two parallel sides)
⇒ 450 = $\frac{1}{2}$ × (sum of parallel sides) × 15
$\therefore$ The sum of the length of the sides = 60 cm
Hence, the correct answer is 60 cm.
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