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Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?
- a)10.5 cm
- b)7.5 cm
- c)6 cm
- d)12 cm
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Of any two adjacent sides of a parallelogram one is longer than the ot...
Let smaller side be x.
Longer side = x +3
∴ x + x + 3 + x + x + 3 = 36
⇒ 4x + 6 = 36 ⇒ 4x = 30
Longer side = x +3
∴ x + x + 3 + x + x + 3 = 36
⇒ 4x + 6 = 36 ⇒ 4x = 30
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Of any two adjacent sides of a parallelogram one is longer than the ot...
To solve this problem, let's assume the shorter side of the parallelogram is x cm. According to the given information, one of the adjacent sides is longer than the other by 3 cm. So, the longer side would be (x + 3) cm.
We know that in a parallelogram, opposite sides are equal in length. Therefore, the other shorter side would also be x cm, and the other longer side would be (x + 3) cm.
The perimeter of a parallelogram is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 36 cm. So, we can write the equation:
2x + 2(x + 3) = 36
Simplifying the equation:
2x + 2x + 6 = 36
4x + 6 = 36
Subtracting 6 from both sides:
4x = 30
Dividing both sides by 4:
x = 7.5
Therefore, the length of the smaller side of the parallelogram is 7.5 cm, which corresponds to option B.
We know that in a parallelogram, opposite sides are equal in length. Therefore, the other shorter side would also be x cm, and the other longer side would be (x + 3) cm.
The perimeter of a parallelogram is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 36 cm. So, we can write the equation:
2x + 2(x + 3) = 36
Simplifying the equation:
2x + 2x + 6 = 36
4x + 6 = 36
Subtracting 6 from both sides:
4x = 30
Dividing both sides by 4:
x = 7.5
Therefore, the length of the smaller side of the parallelogram is 7.5 cm, which corresponds to option B.
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Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?a)10.5 cmb)7.5 cmc)6 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer?
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Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?a)10.5 cmb)7.5 cmc)6 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?a)10.5 cmb)7.5 cmc)6 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?a)10.5 cmb)7.5 cmc)6 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer?.
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Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?a)10.5 cmb)7.5 cmc)6 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?a)10.5 cmb)7.5 cmc)6 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Of any two adjacent sides of a parallelogram one is longer than the other by 3 cm. If the perimeter is 36 cm, then what is the length of smaller side of parallelogram?a)10.5 cmb)7.5 cmc)6 cmd)12 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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