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The figure above is composed of 5 squares of equal area, as

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Joined: 07 Jun 2014
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Kudos [?]: 1865 [0], given: 397

The figure above is composed of 5 squares of equal area, as [#permalink]  17 Sep 2018, 16:57
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76% (00:32) correct 23% (00:29) wrong based on 17 sessions
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The figure above is composed of 5 squares of equal area, as indicated by the dotted lines. The total area of the figure is 45.

 Quantity A Quantity B The perimeter of the figure $$48$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Kudos [?]: 593 [1] , given: 88

Re: The figure above is composed of 5 squares of equal area, as [#permalink]  28 Nov 2018, 07:56
1
KUDOS
If 5 squares of identical areas equal 45
then each square has an area of 45/5 = 9

since area of each square is 9; each side = 3

Now the main point is that the dotted square in the center does not count towards the perimeter because this part is hidden and we calculate the perimeter of only outer surface

so we have 4 squares. Each of these 4 squares have only 3 of 4 sides visible so we have perimeter of each square as 9 hence perimeter of 4 such square is 36
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Re: The figure above is composed of 5 squares of equal area, as   [#permalink] 28 Nov 2018, 07:56
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