The ratio of area of a rectangle to a square is 7 : 6 and the perimeter of the…
2025
The ratio of area of a rectangle to a square is 7 : 6 and the perimeter of the square is 96 cm. If the ratio of length to breadth of the rectangle is 21 : 8, then find the perimeter of the rectangle (in cm)?
- A.
232
- B.
58
- C.
116
- D.
174
- E.
46
Attempted by 5 students.
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Correct answer: C
The square has perimeter 96 cm, so its side is 24 cm and area is 576 cm^2.
Rectangle area : square area = 7 : 6, so rectangle area = 672 cm^2.
Let rectangle length and breadth be 21x and 8x. Then 168x^2 = 672, so x = 2.
Perimeter = 2(42 + 16) = 116 cm.