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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?
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 
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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.
Free Test
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?
Question Description
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