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The perimeter of a square is one-fourth of the perimeter of a Rectangle. If the perimeter of the square is 44 cm, and the length of the Rectangle is 51 cm, what is the difference between the breadth of the Rectangle and the side of the square?
- a)30 cm
- b)18 cm
- c)26 cm
- d)32 cm
- e)None of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The perimeter of a square is one-fourth of the perimeter of a Rectang...
We know that, formulae
⇒ Perimeter of a square = 4 × side of square,
⇒ Perimeter of a rectangle = Sum of all the sides.
Let side of the square be ‘a’ and sides of the rectangle be ‘l’ and ‘b’,
According to the question:
⇒ 4a = 1/4 × 2(l+b)
⇒ 44 = 1/4 × 2(l+b)
⇒ 44 = 1/4 × 2(51+b)
⇒ b = 37.
∴ Side of square
= (444) = 11
∴ Required difference = 37 − 11 = 26 cm
Hence, the correct option is (C).
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Community Answer
The perimeter of a square is one-fourth of the perimeter of a Rectang...
Solution:
Let's assume that the side length of the square is 's' and the breadth of the rectangle is 'b'.
Given:
Perimeter of the square = 44 cm
Perimeter of the rectangle = 4 × (length + breadth) = 4 × (51 + b)
We are given that the perimeter of the square is one-fourth of the perimeter of the rectangle. So, we can write the equation as:
44 = (1/4) × 4 × (51 + b)
Simplifying the equation, we get:
44 = 51 + b
Subtracting 51 from both sides, we get:
44 - 51 = b
-7 = b
Therefore, the breadth of the rectangle is -7 cm. However, since breadth cannot be negative, this is not a valid solution.
Conclusion:
The given information and equation do not yield a valid solution. Therefore, none of the options provided (a, b, c, d, e) are correct.
Let's assume that the side length of the square is 's' and the breadth of the rectangle is 'b'.
Given:
Perimeter of the square = 44 cm
Perimeter of the rectangle = 4 × (length + breadth) = 4 × (51 + b)
We are given that the perimeter of the square is one-fourth of the perimeter of the rectangle. So, we can write the equation as:
44 = (1/4) × 4 × (51 + b)
Simplifying the equation, we get:
44 = 51 + b
Subtracting 51 from both sides, we get:
44 - 51 = b
-7 = b
Therefore, the breadth of the rectangle is -7 cm. However, since breadth cannot be negative, this is not a valid solution.
Conclusion:
The given information and equation do not yield a valid solution. Therefore, none of the options provided (a, b, c, d, e) are correct.
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The perimeter of a square is one-fourth of the perimeter of a Rectangle. If the perimeter of the square is 44 cm, and the length of the Rectangle is 51 cm, what is the difference between the breadth of the Rectangle and the side of the square?a)30 cmb)18 cmc)26 cmd)32 cme)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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