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

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Math Expert
Joined: 02 Sep 2009
Posts: 55670
If the sides of a square are doubled in length, the area of the origin  [#permalink]

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02 Dec 2014, 09:11
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Difficulty:

35% (medium)

Question Stats:

60% (01:01) correct 40% (00:55) wrong based on 258 sessions

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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%

Kudos for a correct solution.

Source: Chili Hot GMAT

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Re: If the sides of a square are doubled in length, the area of the origin  [#permalink]

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02 Dec 2014, 10:24
1
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]

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02 Dec 2014, 19:50
2

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]

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03 Dec 2014, 07:55
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

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Posts: 11392
Re: If the sides of a square are doubled in length, the area of the origin  [#permalink]

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16 Sep 2018, 06:43
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Re: If the sides of a square are doubled in length, the area of the origin   [#permalink] 16 Sep 2018, 06:43
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