The perimeter of a square is twice the perimeter of a rectangle. If the…
2023
The perimeter of a square is twice the perimeter of a rectangle. If the perimeter of the square is 72 cms and the length of the rectangle is 12 cms, what is the difference between the breadth of the rectangle and the side of the square?
- A.
9 cms
- B.
12 cms
- C.
18 cms
- D.
3 cms
Attempted by 1 students.
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Correct answer: B
We know that
Perimeter of square = 4 × side
Perimeter of rectangle = 2 × (length + breadth)
Given Length of rectangle = 12 cm
Perimeter of the square = 72 cm
∴ Side of square = perimeter of square /4 = 72/4 = 18 cms
According to the question
Perimeter of square = 2 × perimeter of rectangle
∴ Perimeter of rectangle = perimeter of square /2 = 72/2
⇒ 36 cm = 2 (length + breadth)
⇒ 2 × (12 +breadth) = 36 (∵ length = 12 cm)
⇒ Breadth = 6 cm
∴ Difference between side of square and breadth of rectangle = 18 – 6 = 12 cm