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# In the figure above every square is contained within a square that has

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

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07 Jan 2015, 07:40
00:00

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

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07 Jan 2015, 11:26
1
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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08 Jan 2015, 01:14
1

Area of small square = 4

Area of medium square = 4*2 = 8

Area of large square = 8*2 = 16
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Math Expert
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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09 Jan 2015, 06:57
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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Re: In the figure above every square is contained within a square that has  [#permalink]

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17 Dec 2018, 14:02
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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