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

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

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New post 02 Dec 2014, 08:11
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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%

Kudos for a correct solution.

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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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New post 02 Dec 2014, 09:24
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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New post 02 Dec 2014, 18:50
2
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]

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New post 03 Dec 2014, 06:55
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


The correct answer is A.
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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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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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New post 16 Sep 2018, 05:43
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Re: If the sides of a square are doubled in length, the area of the origin &nbs [#permalink] 16 Sep 2018, 05:43
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