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If the sides of a square are doubled in length, the area of the origin

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Bunuel
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If the sides of a square are doubled in length, the area of the origin [#permalink] New post   02 Dec 2014, 09:11
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Tough and Tricky questions: Geometry.



If the sides of a square are doubled in length, the area of the original square is now how many times as large as the area of the resultant square?

A) 25%
B) 50%
C) 100%
D) 200%
E) 400%
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Source: Chili Hot GMAT
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A
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Re: If the sides of a square are doubled in length, the area of the origin [#permalink] New post   02 Dec 2014, 10:24
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Let the original square have sides of length L and the new square have sides of length 2L.

The resulting areas are L^2 for the original square and 4L^2 for the new square (as the length of the side is square to get the area).

The original square's area is L^2/4L^2 or 25% of the new square's area. Choice A
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Re: If the sides of a square are doubled in length, the area of the origin [#permalink] New post   02 Dec 2014, 19:50
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Answer = A) 25%

Say side of original square = 1

Area\(= 1^2 = 1\)

New square side is doubled = 2

Area \(= 2^2 = 4\)

Area of original square (=1) is \(\frac{1}{4}\) times area of new square (=4)

Percentage \(= \frac{1}{4} * 100 = 25%\)
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Re: If the sides of a square are doubled in length, the area of the origin [#permalink] New post   03 Dec 2014, 07:55
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Bunuel wrote:

Tough and Tricky questions: Geometry.



If the sides of a square are doubled in length, the area of the original square is now how many times as large as the area of the resultant square?

A) 25%
B) 50%
C) 100%
D) 200%
E) 400%

Kudos for a correct solution.

Source: Chili Hot GMAT


The correct answer is A.
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Re: If the sides of a square are doubled in length, the area of the origin [#permalink] New post   01 Aug 2022, 10:32
I would have got it right easily if "tough and tricky" weren't written over it. I kept questioning the right answer till I marked it wrong.
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Re: If the sides of a square are doubled in length, the area of the origin [#permalink] New post   05 Oct 2023, 07:08
Bunuel wrote:

Tough and Tricky questions: Geometry.



If the sides of a square are doubled in length, the area of the original square is now how many times as large as the area of the resultant square?

A) 25%
B) 50%
C) 100%
D) 200%
E) 400%
Show Spoiler

Kudos for a correct solution.

Source: Chili Hot GMAT

\(l_o = 1\) ; \(l_i = 2\)

\(A_0 = 1^2 = 1\) & \(A_0 = 2^2 = 4\)

Quote:
The area of the original square is now how many times as large as the area of the resultant square?


\(\frac{1}{4}*100 = 25\)%, Answer will be (A)
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Re: If the sides of a square are doubled in length, the area of the origin [#permalink]
05 Oct 2023, 07:08
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