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Which of the following has the formula : Base × Height
- a)area of parallelogram
- b)area of square
- c)area of quadrilateral
- d)area of trapezium
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following has the formula : Base × Heighta)area of ...
Understanding the Area of a Parallelogram
The formula for calculating the area of a shape is crucial in geometry, especially for various polygons. One prominent formula is:
Area = Base × Height
This formula specifically applies to the area of a parallelogram. Here’s a detailed breakdown:
1. Definition of Parallelogram
- A parallelogram is a four-sided figure (quadrilateral) where opposite sides are parallel and equal in length.
2. Components of the Formula
- Base: The length of one side of the parallelogram, which is considered the bottom side.
- Height: The perpendicular distance from the base to the opposite side. It is important that height is measured at a right angle to the base.
3. Why Other Options Are Incorrect
- Area of Square: The area is calculated using the formula Side × Side.
- Area of Quadrilateral: There isn't a single formula for all quadrilaterals; the area can vary based on the shape.
- Area of Trapezium: The formula is (Base1 + Base2) × Height / 2, which is different from the parallelogram's formula.
Conclusion
Thus, the correct answer is option 'A' as the formula Base × Height accurately represents the area of a parallelogram. Understanding these distinctions helps in accurately calculating areas of different shapes in geometry.
The formula for calculating the area of a shape is crucial in geometry, especially for various polygons. One prominent formula is:
Area = Base × Height
This formula specifically applies to the area of a parallelogram. Here’s a detailed breakdown:
1. Definition of Parallelogram
- A parallelogram is a four-sided figure (quadrilateral) where opposite sides are parallel and equal in length.
2. Components of the Formula
- Base: The length of one side of the parallelogram, which is considered the bottom side.
- Height: The perpendicular distance from the base to the opposite side. It is important that height is measured at a right angle to the base.
3. Why Other Options Are Incorrect
- Area of Square: The area is calculated using the formula Side × Side.
- Area of Quadrilateral: There isn't a single formula for all quadrilaterals; the area can vary based on the shape.
- Area of Trapezium: The formula is (Base1 + Base2) × Height / 2, which is different from the parallelogram's formula.
Conclusion
Thus, the correct answer is option 'A' as the formula Base × Height accurately represents the area of a parallelogram. Understanding these distinctions helps in accurately calculating areas of different shapes in geometry.
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Community Answer
Which of the following has the formula : Base × Heighta)area of ...
- The area of a parallelogram is calculated as Base × Height.
- This formula works because the height is the perpendicular distance from the base to the opposite side.
- Unlike triangles or trapeziums which require different calculations or coefficients, a parallelogram's area is directly obtained by multiplying its base by its height.
- Thus, option 1 is the correct answer as per the provided solution.
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Question Description
Which of the following has the formula : Base × Heighta)area of parallelogramb)area of squarec)area of quadrilaterald)area of trapeziumCorrect answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following has the formula : Base × Heighta)area of parallelogramb)area of squarec)area of quadrilaterald)area of trapeziumCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following has the formula : Base × Heighta)area of parallelogramb)area of squarec)area of quadrilaterald)area of trapeziumCorrect answer is option 'A'. Can you explain this answer?.
Which of the following has the formula : Base × Heighta)area of parallelogramb)area of squarec)area of quadrilaterald)area of trapeziumCorrect answer is option 'A'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following has the formula : Base × Heighta)area of parallelogramb)area of squarec)area of quadrilaterald)area of trapeziumCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following has the formula : Base × Heighta)area of parallelogramb)area of squarec)area of quadrilaterald)area of trapeziumCorrect answer is option 'A'. Can you explain this answer?.
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