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The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?
- a)L = 12 cm, B = 4 cm
- b)L = 20 cm, B = 8 cm
- c)L = 20 cm, B = 12 cm
- d)L = 12 cm, B = 8 cm
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The difference between the length and the breadth of a rectangle is 8 ...
Length of rectangle = x cm Breadth of rectangle = (x - 8) cm Perimeter of rectangle = 2(x + x - 8) = 2(2x - 8) Given 2(2x - 8) = 64 ⇒ 2x = 40 ⇒ x = 20 L = 20, B = 20 - 8 = 12
Most Upvoted Answer
The difference between the length and the breadth of a rectangle is 8 ...
Given:
Length - Breadth = 8 cm
Perimeter = 64 cm
To find:
Possible values of Length and Breadth of the rectangle
Solution:
Let's assume the length of the rectangle to be 'L' and the breadth to be 'B'.
From the given information, we have two equations:
L - B = 8 ---(1)
2(L+B) = 64 ---(2)
Solving the above equations, we get:
L + B = 32 (using equation 2)
L = 32 - B (rearranging the above equation)
Substituting the value of L in equation (1), we get:
(32 - B) - B = 8
32 - 2B = 8
2B = 24
B = 12
Substituting the value of B in equation (1), we get:
L - 12 = 8
L = 20
Therefore, the possible values of Length and Breadth of the rectangle are:
Length = 20 cm and Breadth = 12 cm
Hence, option (c) is the correct answer.
Length - Breadth = 8 cm
Perimeter = 64 cm
To find:
Possible values of Length and Breadth of the rectangle
Solution:
Let's assume the length of the rectangle to be 'L' and the breadth to be 'B'.
From the given information, we have two equations:
L - B = 8 ---(1)
2(L+B) = 64 ---(2)
Solving the above equations, we get:
L + B = 32 (using equation 2)
L = 32 - B (rearranging the above equation)
Substituting the value of L in equation (1), we get:
(32 - B) - B = 8
32 - 2B = 8
2B = 24
B = 12
Substituting the value of B in equation (1), we get:
L - 12 = 8
L = 20
Therefore, the possible values of Length and Breadth of the rectangle are:
Length = 20 cm and Breadth = 12 cm
Hence, option (c) is the correct answer.
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Community Answer
The difference between the length and the breadth of a rectangle is 8 ...
L =12 cm / b= 4 cm is the answer to this question
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The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?a)L = 12 cm, B = 4 cmb)L = 20 cm, B = 8 cmc)L = 20 cm, B = 12 cmd)L = 12 cm, B = 8 cmCorrect answer is option 'C'. Can you explain this answer?
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The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?a)L = 12 cm, B = 4 cmb)L = 20 cm, B = 8 cmc)L = 20 cm, B = 12 cmd)L = 12 cm, B = 8 cmCorrect answer is option 'C'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?a)L = 12 cm, B = 4 cmb)L = 20 cm, B = 8 cmc)L = 20 cm, B = 12 cmd)L = 12 cm, B = 8 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?a)L = 12 cm, B = 4 cmb)L = 20 cm, B = 8 cmc)L = 20 cm, B = 12 cmd)L = 12 cm, B = 8 cmCorrect answer is option 'C'. Can you explain this answer?.
The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?a)L = 12 cm, B = 4 cmb)L = 20 cm, B = 8 cmc)L = 20 cm, B = 12 cmd)L = 12 cm, B = 8 cmCorrect answer is option 'C'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?a)L = 12 cm, B = 4 cmb)L = 20 cm, B = 8 cmc)L = 20 cm, B = 12 cmd)L = 12 cm, B = 8 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The difference between the length and the breadth of a rectangle is 8 cm and the perimeter is 64 cm. Which of the following can be the length and breadth of this rectangle?a)L = 12 cm, B = 4 cmb)L = 20 cm, B = 8 cmc)L = 20 cm, B = 12 cmd)L = 12 cm, B = 8 cmCorrect answer is option 'C'. Can you explain this answer?.
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