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The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?
- a)
- b)
- c)
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The length of a rectangle is 2 cm more than its breadth. The diagonal ...
From given data
Length of the rectangle l = (b + 2)
We know that diagonal d of a rectangle = √(l2 + b2)
⇒ d = √[(b + 2)2 + b2]
⇒ 5 = √[(b + 2)2 + b2]
On squaring on both sides, we get
⇒ 25 = 2b2 + 4b + 4
⇒ 21 = 2b2 + 4b
⇒ b = -1 ± √(23/2)
∴ Length = (b + 2) = -1 ± √(23/2) + 2 = 1 ± √(23/2)
Length of the rectangle l = (b + 2)
We know that diagonal d of a rectangle = √(l2 + b2)
⇒ d = √[(b + 2)2 + b2]
⇒ 5 = √[(b + 2)2 + b2]
On squaring on both sides, we get
⇒ 25 = 2b2 + 4b + 4
⇒ 21 = 2b2 + 4b
⇒ b = -1 ± √(23/2)
∴ Length = (b + 2) = -1 ± √(23/2) + 2 = 1 ± √(23/2)
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The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?a)b)c)d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?a)b)c)d)None of theseCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?a)b)c)d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?a)b)c)d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?a)b)c)d)None of theseCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?a)b)c)d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a rectangle is 2 cm more than its breadth. The diagonal is 5 cm. Find the length of the rectangle?a)b)c)d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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