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Question
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Options:
A .  18 : 5
B .  7 : 16
C .  5 : 14
D .  5 : 32
E .  None of these.
Answer: Option E


Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm. a2 = 4096 = 212 a = (212)1/2 = 26 = 64 L = 2a and b = a - 24 b : l = a - 24 : 2a = 40 : 128 = 5 : 16



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