The area of a square is 1024 sq cm What is...

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The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?

A. 5 : 18

B. 16 : 7

C. 14 : 5

D. 32 : 5

E. None of these

Answer: Option E

Solution(By Examveda Team)

Area of square = $$\sqrt {1024} $$ cm = 32 cm
Length of rectangle = (2 × 32) cm = 64 cm
Breadth of rectangle = (32 - 12) cm = 20 cm
∴ Required ratio = 64 : 20 = 16 : 5

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