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The perimeter of a parallelogram is 24 cm. If the longer side measures 8 cm. Then what is the measure of shroter side?
- a)4 cm
- b)6 cm
- c)2 cm
- d)None of There
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The perimeter of a parallelogram is 24 cm. If the longer side measures...
Given information:
- Perimeter of the parallelogram = 24 cm
- Length of the longer side = 8 cm
To find:
- Length of the shorter side
Solution:
1. A parallelogram has opposite sides of equal length. Therefore, if the longer side measures 8 cm, the opposite side will also measure 8 cm.
2. Let's assume the length of the shorter side is 'x' cm.
3. The perimeter of a parallelogram is the sum of all its sides. In this case, the perimeter is given as 24 cm.
4. The formula for the perimeter of a parallelogram is: Perimeter = 2 * (Length of longer side + Length of shorter side).
5. Substituting the given values, we have: 24 = 2 * (8 + x).
6. Simplifying the equation, we get: 24 = 16 + 2x.
7. Subtracting 16 from both sides of the equation, we get: 8 = 2x.
8. Dividing both sides of the equation by 2, we get: x = 4.
9. Therefore, the length of the shorter side is 4 cm.
Conclusion:
The measure of the shorter side of the parallelogram is 4 cm, which corresponds to option A.
- Perimeter of the parallelogram = 24 cm
- Length of the longer side = 8 cm
To find:
- Length of the shorter side
Solution:
1. A parallelogram has opposite sides of equal length. Therefore, if the longer side measures 8 cm, the opposite side will also measure 8 cm.
2. Let's assume the length of the shorter side is 'x' cm.
3. The perimeter of a parallelogram is the sum of all its sides. In this case, the perimeter is given as 24 cm.
4. The formula for the perimeter of a parallelogram is: Perimeter = 2 * (Length of longer side + Length of shorter side).
5. Substituting the given values, we have: 24 = 2 * (8 + x).
6. Simplifying the equation, we get: 24 = 16 + 2x.
7. Subtracting 16 from both sides of the equation, we get: 8 = 2x.
8. Dividing both sides of the equation by 2, we get: x = 4.
9. Therefore, the length of the shorter side is 4 cm.
Conclusion:
The measure of the shorter side of the parallelogram is 4 cm, which corresponds to option A.
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Community Answer
The perimeter of a parallelogram is 24 cm. If the longer side measures...
Perimeter of ||gm = 2(a + b) = 24 cm
⇒ a + b = 12 cm
Given a = 8 cm
then 8 + b = 12 cm
⇒ b = 4 cm
⇒ a + b = 12 cm
Given a = 8 cm
then 8 + b = 12 cm
⇒ b = 4 cm
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