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If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:
- a)20 cm2
- b)5 cm2
- c)10 cm2
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If the parallel sides of a parallelogram are 2 cm apart and their sum ...
use formula:1/2(sum of of parallel sides)(distance between them)
= 1/2 *(10)*2 = 10 cm2
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If the parallel sides of a parallelogram are 2 cm apart and their sum ...
Understanding the Parallelogram Area
To find the area of a parallelogram, we can use the formula:
Area = base × height
Where:
- The base is the length of one of the parallel sides.
- The height is the perpendicular distance between the parallel sides.
Given Information
- The distance between the parallel sides (height) = 2 cm
- The sum of the lengths of the parallel sides = 10 cm
Finding the Base
Since we have the sum of the two parallel sides, we can define their lengths as follows:
Let one side be "a" and the other side be "b". According to the problem:
a + b = 10 cm
To find the area, we need the length of one of the sides. For simplicity, let's assume both sides are equal. Thus:
a = b = 10 cm / 2 = 5 cm
Calculating the Area
Now, substituting the values into the area formula:
Area = base × height
Area = 5 cm × 2 cm
Area = 10 cm²
Conclusion
The area of the parallelogram is 10 cm². Hence, the correct answer is option 'C'. This demonstrates how understanding the properties of parallelograms can help solve geometry problems effectively.
To find the area of a parallelogram, we can use the formula:
Area = base × height
Where:
- The base is the length of one of the parallel sides.
- The height is the perpendicular distance between the parallel sides.
Given Information
- The distance between the parallel sides (height) = 2 cm
- The sum of the lengths of the parallel sides = 10 cm
Finding the Base
Since we have the sum of the two parallel sides, we can define their lengths as follows:
Let one side be "a" and the other side be "b". According to the problem:
a + b = 10 cm
To find the area, we need the length of one of the sides. For simplicity, let's assume both sides are equal. Thus:
a = b = 10 cm / 2 = 5 cm
Calculating the Area
Now, substituting the values into the area formula:
Area = base × height
Area = 5 cm × 2 cm
Area = 10 cm²
Conclusion
The area of the parallelogram is 10 cm². Hence, the correct answer is option 'C'. This demonstrates how understanding the properties of parallelograms can help solve geometry problems effectively.
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If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:a)20 cm2b)5 cm2c)10 cm2d)none of theseCorrect answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:a)20 cm2b)5 cm2c)10 cm2d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:a)20 cm2b)5 cm2c)10 cm2d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:a)20 cm2b)5 cm2c)10 cm2d)none of theseCorrect answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:a)20 cm2b)5 cm2c)10 cm2d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the parallel sides of a parallelogram are 2 cm apart and their sum is 10 cm then its area is:a)20 cm2b)5 cm2c)10 cm2d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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