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# The figure above is made up of 4 squares. If a straight line segment

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
The figure above is made up of 4 squares. If a straight line segment  [#permalink]

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11 Oct 2018, 02:52
00:00

Difficulty:

35% (medium)

Question Stats:

73% (01:23) correct 27% (01:59) wrong based on 49 sessions

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The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of 8√2 units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80

Attachment:

squares.jpg [ 5.06 KiB | Viewed 634 times ]

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Re: The figure above is made up of 4 squares. If a straight line segment  [#permalink]

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11 Oct 2018, 04:25
1
Bunuel wrote:

The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of 82√82 units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80

Attachment:
The attachment squares.jpg is no longer available

Bunuel I can see that figure here has a copy paste error and history tells me that correct figure should have been $$8√2$$ instead of $$82√82$$

It's a 2:29 minutes long video and a very simple way of explanation. Please watch and share feedback to improve. Give Kudos if you like...

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File comment: www.GMATinsight.com

Solution.png [ 430.85 KiB | Viewed 550 times ]

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Posts: 58335
Re: The figure above is made up of 4 squares. If a straight line segment  [#permalink]

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11 Oct 2018, 04:37
GMATinsight wrote:
Bunuel wrote:

The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of 82√82 units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80

Attachment:
squares.jpg

Bunuel I can see that figure here has a copy paste error and history tells me that correct figure should have been $$8√2$$ instead of $$82√82$$

It's a 2:29 minutes long video and a very simple way of explanation. Please watch and share feedback to improve. Give Kudos if you like...

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Yes, you are right. Edited. Thank you.
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Re: The figure above is made up of 4 squares. If a straight line segment  [#permalink]

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11 Oct 2018, 07:39
Diagonal of square = s\sqrt{2}
we were asked to find Perimeter of the given Figure(Not the perimeter of squares).
Given,
2*s\sqrt{2}=8\sqrt{2}

After solving We get S=4.
perimeter of figure is 10 *s =10* 4 = 40.
Attachments

IMG_3246.JPG [ 1.69 MiB | Viewed 471 times ]

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Re: The figure above is made up of 4 squares. If a straight line segment  [#permalink]

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11 Oct 2018, 07:43
Bunuel wrote:

The figure above is made up of 4 squares. If a straight line segment were to be drawn from A to B, it would have a length of 8√2 units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80

Attachment:
squares.jpg

Line segment from A to B = 2 Diagonals (of Square) , ie Diagonal of Square A and Diagonal of Square B

Now, since the squares are of equall size , we have $$2a√2 = 8√2$$

Or, $$a = 4$$

For perimeter count the number of sides of the figure, there are 10 sides, so the Perimeter of the figure will be 40, Answer must be (C)
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Re: The figure above is made up of 4 squares. If a straight line segment   [#permalink] 11 Oct 2018, 07:43
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