Class 9 Exam > Class 9 Questions > The area and length of one diagonal of a rhom...
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The area and length of one diagonal of a rhombus are given as 200 cm2 and 10 cm respectively. The length of other diagonal is
- a)20 cm
- b)40 cm
- c)25 cm
- d)10 cm
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The area and length of one diagonal of a rhombus are given as 200cm2 a...
Given information:
- Area of the rhombus = 200 cm²
- Length of one diagonal = 10 cm
Formula:
- Area of a rhombus = (d₁ * d₂) / 2, where d₁ and d₂ are the lengths of the diagonals
Step 1: Finding the length of the other diagonal
- Let the length of the other diagonal be 'x' cm.
- We know that the area of the rhombus is 200 cm².
- So, (10 * x) / 2 = 200
- 10 * x = 400
- x = 400 / 10
- x = 40 cm
Step 2: Checking the options
- We found that the length of the other diagonal is 40 cm.
- Let's check the given options.
- a) 20 cm - Not the correct answer
- b) 40 cm - Correct answer
- c) 25 cm - Not the correct answer
- d) 10 cm - Not the correct answer
Conclusion:
- Therefore, the length of the other diagonal is 40 cm, which is given in option 'B'.
- Area of the rhombus = 200 cm²
- Length of one diagonal = 10 cm
Formula:
- Area of a rhombus = (d₁ * d₂) / 2, where d₁ and d₂ are the lengths of the diagonals
Step 1: Finding the length of the other diagonal
- Let the length of the other diagonal be 'x' cm.
- We know that the area of the rhombus is 200 cm².
- So, (10 * x) / 2 = 200
- 10 * x = 400
- x = 400 / 10
- x = 40 cm
Step 2: Checking the options
- We found that the length of the other diagonal is 40 cm.
- Let's check the given options.
- a) 20 cm - Not the correct answer
- b) 40 cm - Correct answer
- c) 25 cm - Not the correct answer
- d) 10 cm - Not the correct answer
Conclusion:
- Therefore, the length of the other diagonal is 40 cm, which is given in option 'B'.
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Community Answer
The area and length of one diagonal of a rhombus are given as 200cm2 a...
1/2 × 40 × 10 = 20 × 10 = 200cm²
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The area and length of one diagonal of a rhombus are given as 200cm2 and 10 cm respectively. The length of other diagonal isa)20 cmb)40 cmc)25 cmd)10 cmCorrect answer is option 'B'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The area and length of one diagonal of a rhombus are given as 200cm2 and 10 cm respectively. The length of other diagonal isa)20 cmb)40 cmc)25 cmd)10 cmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The area and length of one diagonal of a rhombus are given as 200cm2 and 10 cm respectively. The length of other diagonal isa)20 cmb)40 cmc)25 cmd)10 cmCorrect answer is option 'B'. Can you explain this answer?.
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