Class 8 Exam > Class 8 Questions > If the parallel sides of a parallelogram are ... Start Learning for Free
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 ...
Interpret the geometric relationship between the "parallel sides" and the "distance apart." In any parallelogram, the opposite sides are equal in length, and the perpendicular distance between these sides is defined as the height. Since the problem states that the sum of these two parallel sides is 10 \text{ cm}, we can determine the length of a single side (the base) by dividing that sum by two, which gives us a base of 5 \text{ cm}. The "distance apart" is given as 2 \text{ cm}, which serves as the height of the figure.
The fundamental formula for the area of a parallelogram is the product of its base and its height (A = b \times h). By substituting our calculated base of 5 \text{ cm} and the provided height of 2 \text{ cm} into this equation, we multiply five by two to reach a total area of 10 \text{ cm}^2. This confirms why Option C is the mathematically correct choice, as it directly applies the relationship between the dimensions of the shape to find the total space it occupies.
The fundamental formula for the area of a parallelogram is the product of its base and its height (A = b \times h). By substituting our calculated base of 5 \text{ cm} and the provided height of 2 \text{ cm} into this equation, we multiply five by two to reach a total area of 10 \text{ cm}^2. This confirms why Option C is the mathematically correct choice, as it directly applies the relationship between the dimensions of the shape to find the total space it occupies.
Free Test
FREE
| Start Free Test |
Community Answer
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.
 | Explore Courses for Class 8 exam |  |
Top Courses for Class 8View all
Top Courses for Class 8
Question Description
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 2026 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 2026 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 2026 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 2026 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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 8. Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Class 8 tests.
| Explore Courses for Class 8 exam | |
Top Courses for Class 8
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
