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The ratio of the areas of two squares, one having its diagonal double that of the other, is

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2: 1

3: 1

3: 2

4: 1

answer is D.

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Detailed Solution

Given 2 squares in which one is having its diagonal double that of the other.
Length of the diagonal of the square =

2 × s i d e

.
Assume diagonal 1 as

, diagonal 2 as

d 2

.
According to the question,

⇒ d 2 = 2 d 1

Area of a square

= d 2 2

.
Where d is the diagonal of square.
Now, the ratio is,
Area of square 2: Area of square 1

⇒ d 22 2 : d 12 2

⇒ d 22 : d 12

⇒ 2 d 1 2 : d 12

⇒ 4 : 1

Thus, the required ratio is 4: 1.
Hence, option 4 is correct.

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