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Founder  Joined: 18 Apr 2015
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The figure above is made up of 4 squares. If a straight line [#permalink]
Expert's post 00:00

Question Stats: 73% (00:47) correct 26% (01:17) wrong based on 42 sessions
Attachment: #GRE practicequestion The figure above is made up of 4 squares.jpg [ 5.06 KiB | Viewed 1282 times ]

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 $$8 \sqrt{2}$$ units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80
[Reveal] Spoiler: OA

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Intern Joined: 16 Jun 2019
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Re: The figure above is made up of 4 squares. If a straight line [#permalink]
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What is the explanation to this question? is the "figure" the whole shaded region or the triangle created with AB as hypothenuse?
Founder  Joined: 18 Apr 2015
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Kudos [?]: 2385 , given: 9227

Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Expert's post
Attachment: #GRE practicequestion The figure above is made up of 4 squares.jpg [ 7.37 KiB | Viewed 1280 times ]

This becomes a triangle which has the angles in the ratio of $$45:45:90$$ or $$x:x:x\sqrt{2}$$

We do know this because the segment AB is $$8\sqrt{2}$$

which means that the other sides are 8

One side of a square is 4.

We want to know the perimeter of the shaded region which has 10 sides

$$4 \times 10 = 40$$

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Intern Joined: 27 Jun 2019
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Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Carcass wrote:
Attachment:
#GRE practicequestion The figure above is made up of 4 squares.jpg

This becomes a triangle which has the angles in the ratio of $$45:45:90$$ or $$x:x:x\sqrt{2}$$

We do know this because the segment AB is $$8\sqrt{2}$$

which means that the other sides are 8

One side of a square is 4.

We want to know the perimeter of the shaded region which has 10 sides

$$4 \times 10 = 40$$

Aren't we supposed to be told that all the squares are equal? By assuming that they are equal, we might be missing a case when they aren't.
Founder  Joined: 18 Apr 2015
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Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Expert's post
As square has all the sides equal.

Otherwise must be specified. In this case, we fairly might assume they are equal.

Regards
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Intern Joined: 27 Jun 2019
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Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Carcass wrote:
As square has all the sides equal.

Otherwise must be specified. In this case, we fairly might assume they are equal.

Regards

The problem says "The figure above is made up of 4 squares." . We know that each of those four figures is a square, but we are not told that they are all equal.
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Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Expert's post
Each square is equal to another.

You could infer from it
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Re: The figure above is made up of 4 squares. If a straight line [#permalink]
Carcass wrote:
Attachment:
#GRE practicequestion The figure above is made up of 4 squares.jpg

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 $$8 \sqrt{2}$$ units. What is the perimeter of the entire figure in units?

A. 20

B. 32

C. 40

D. 64

E. 80

across one square the distance would be $$4\sqrt{2}$$

$$4\sqrt{2} = \sqrt{2a^2}$$
16*2 = 32 = 2a^2
16 = a^2
a = 4

Then count edges. 10

4*10 = 40

Perhaps a faster way of doing the math would be putting 4 under the radical to get \sqrt{32} and recognizing that 16*2 so the length must be 4 for each side. Re: The figure above is made up of 4 squares. If a straight line   [#permalink] 12 Sep 2019, 21:29
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