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Banking Exams Exam  >  Banking Exams Questions  >   A ground is in the shape of trapezium whose ... Start Learning for Free
A ground is in the shape of trapezium whose area is 1.85 m2 and the perpendicular distance between its parallel sides is 37 cm. Find the sum of its parallel sides.
  • a)
    15m
  • b)
    10m
  • c)
    18m
  • d)
    12m
  • e)
    20 m
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A ground is in the shape of trapezium whose area is 1.85 m2 and the p...
Area of trapezium = 1/2 × (sum of parallel sides) × perpendicular distance
Sum of parallel sides = 2 × area of trapezium/perpendicular distance
Sum of parallel sides = 2 × 1.85 × 100 × 100 / 37
Sum of parallel sides = 1000 cm = 10m
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A ground is in the shape of trapezium whose area is 1.85 m2 and the p...
Understanding the Trapezium Area Formula
To find the sum of the parallel sides of a trapezium, we can use the area formula for trapeziums, which is:
Area = 1/2 × (a + b) × h
Where:
- a = length of one parallel side
- b = length of the other parallel side
- h = height (perpendicular distance between the parallel sides)
Given Values
- Area = 1.85 m²
- Height (h) = 37 cm = 0.37 m (conversion from cm to m)
Setting Up the Equation
Using the area formula:
1.85 = 1/2 × (a + b) × 0.37
Now, we can rearrange this equation to solve for (a + b):
Calculating the Sum of Parallel Sides
1. Multiply both sides by 2:
3.7 = (a + b) × 0.37
2. Divide both sides by 0.37:
a + b = 3.7 / 0.37
3. Calculate:
a + b = 10 m
Conclusion
Thus, the sum of the lengths of the parallel sides of the trapezium is 10 m, which corresponds to option (b).
This step-by-step breakdown illustrates the application of the area formula for trapeziums, leading us to the correct answer in a clear and concise manner.
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A ground is in the shape of trapezium whose area is 1.85 m2 and the perpendicular distance between its parallel sides is 37 cm. Find the sum of its parallel sides.a)15mb)10mc)18md)12me)20 mCorrect answer is option 'B'. Can you explain this answer?
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