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Math Expert V
Joined: 02 Sep 2009
Posts: 58445
In the figure above every square is contained within a square that has  [#permalink]

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Difficulty:   5% (low)

Question Stats: 92% (00:54) correct 8% (01:00) wrong based on 84 sessions

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Tough and Tricky questions: Geomtry. In the figure above every square is contained within a square that has twice its area. What is the area of the largest square, if the smallest square has an area of 4?

A. 2
B. 4
C. 8
D. 10
E. 16

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Attachment: 2015-01-07_1840.png [ 1.9 KiB | Viewed 1844 times ]

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Manager  Joined: 21 Aug 2010
Posts: 164
Location: United States
GMAT 1: 700 Q49 V35 Re: In the figure above every square is contained within a square that has  [#permalink]

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Bunuel wrote:

Tough and Tricky questions: Geomtry. In the figure above every square is contained within a square that has twice its area. What is the area of the largest square, if the smallest square has an area of 4?

A. 2
B. 4
C. 8
D. 10
E. 16

Kudos for a correct solution.

Attachment:
2015-01-07_1840.png

There are 3 square in the diagram if the area of the smallest is 4 area of the largest = 2* 2* 4 = 16

Ans E
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Re: In the figure above every square is contained within a square that has  [#permalink]

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Answer = E. 16

Area of small square = 4

Area of medium square = 4*2 = 8

Area of large square = 8*2 = 16
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Joined: 02 Sep 2009
Posts: 58445
Re: In the figure above every square is contained within a square that has  [#permalink]

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Bunuel wrote:

Tough and Tricky questions: Geomtry. In the figure above every square is contained within a square that has twice its area. What is the area of the largest square, if the smallest square has an area of 4?

A. 2
B. 4
C. 8
D. 10
E. 16

Kudos for a correct solution.

Attachment:
2015-01-07_1840.png

OFFICIAL SOLUTION:

(E) If the area of the smallest square is equal to 4, then the area of the middle square must be twice as large, or equal to 8 square units. Finally, the largest square must have an area of twice the area of the middle square. So the area of the largest square equals 16 units, or the answer choice (E).
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Manager  S
Joined: 12 Apr 2017
Posts: 139
Location: United States
Concentration: Finance, Operations
GPA: 3.1
Re: In the figure above every square is contained within a square that has  [#permalink]

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Square 1 = 4
Square 2 = 4 * 2 = 8
Square 3 = 8 *2 = 16 Re: In the figure above every square is contained within a square that has   [#permalink] 17 Dec 2018, 14:02
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