It is currently 13 Dec 2017, 10:37

# Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# In the figure above, each of the four squares has sides of length x.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135518 [0], given: 12697

In the figure above, each of the four squares has sides of length x. [#permalink]

### Show Tags

11 Nov 2017, 05:54
00:00

Difficulty:

(N/A)

Question Stats:

92% (00:52) correct 8% (02:04) wrong based on 26 sessions

### HideShow timer Statistics

In the figure above, each of the four squares has sides of length x. If ∆ PQR is formed by joining the centers of three of the squares, what is the perimeter of ∆ PQR in terms of x?

(A) 2x√2
(B) (x√2/2) + x
(C) 2x + √2
(D) x√2 + 2
(E) 2x + x√2

[Reveal] Spoiler:
Attachment:

2017-11-11_1744_002.png [ 3.82 KiB | Viewed 380 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 135518 [0], given: 12697

Manager
Joined: 17 Oct 2016
Posts: 148

Kudos [?]: 38 [0], given: 89

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
In the figure above, each of the four squares has sides of length x. [#permalink]

### Show Tags

11 Nov 2017, 07:04
E.

from the fig PQ=x and QR=x. hence PR=X*sqrt(2)

so perimeter = x+x+2*Sqrt(x) = 2x + x*sqrt(2)
_________________

Help with kudos if u found the post useful. Thanks

Last edited by Sasindran on 11 Nov 2017, 18:27, edited 2 times in total.

Kudos [?]: 38 [0], given: 89

VP
Joined: 22 May 2016
Posts: 1122

Kudos [?]: 401 [0], given: 644

In the figure above, each of the four squares has sides of length x. [#permalink]

### Show Tags

11 Nov 2017, 16:37
Bunuel wrote:

In the figure above, each of the four squares has sides of length x. If ∆ PQR is formed by joining the centers of three of the squares, what is the perimeter of ∆ PQR in terms of x?

(A) 2x√2
(B) (x√2/2) + x
(C) 2x + √2
(D) x√2 + 2
(E) 2x + x√2

[Reveal] Spoiler:
Attachment:
2017-11-11_1744_002.png

If centers of squares with side length x are joined, then

Horizontally, Side PQ =
$$\frac{1}{2}x + \frac{1}{2}x = x$$

Vertically, side QR =
$$\frac{1}{2}x + \frac{1}{2}x = x$$

We have an isosceles right triangle, angle measures are 45-45-90, sides lengths are in ratio $$x : x : x\sqrt{2}$$

Side PR corresponds with
$$x\sqrt{2}$$
Equal sides' length each =$$x$$
PR=$$x\sqrt{2}$$

Perimeter = $$(x + x + x\sqrt{2}) =(2x + x\sqrt{2})$$

Sasindran , maybe I don't understand your math language, but think you mean: x*sqrt(2), not, as is written, 2*sqrt(x)

Kudos [?]: 401 [0], given: 644

Manager
Joined: 17 Oct 2016
Posts: 148

Kudos [?]: 38 [0], given: 89

Location: India
Concentration: Operations, Strategy
GPA: 3.7
WE: Design (Real Estate)
Re: In the figure above, each of the four squares has sides of length x. [#permalink]

### Show Tags

11 Nov 2017, 18:25
genxer123 wrote:
Bunuel wrote:

In the figure above, each of the four squares has sides of length x. If ∆ PQR is formed by joining the centers of three of the squares, what is the perimeter of ∆ PQR in terms of x?

(A) 2x√2
(B) (x√2/2) + x
(C) 2x + √2
(D) x√2 + 2
(E) 2x + x√2

[Reveal] Spoiler:
Attachment:
2017-11-11_1744_002.png

If centers of squares with side length x are joined, then

Horizontally, Side PQ =
$$\frac{1}{2}x + \frac{1}{2}x = x$$

Vertically, side QR =
$$\frac{1}{2}x + \frac{1}{2}x = x$$

We have an isosceles right triangle, angle measures are 45-45-90, sides lengths are in ratio $$x : x : x\sqrt{2}$$

Side PR corresponds with
$$x\sqrt{2}$$
Equal sides' length each =$$x$$
PR=$$x\sqrt{2}$$

Perimeter = $$(x + x + x\sqrt{2}) =(2x + x\sqrt{2})$$

Sasindran , maybe I don't understand your math language, but think you mean: x*sqrt(2), not, as is written, 2*sqrt(x)

Yeah. Sorry. My bad. Edited the post. Thank you

Posted from my mobile device
_________________

Help with kudos if u found the post useful. Thanks

Kudos [?]: 38 [0], given: 89

Re: In the figure above, each of the four squares has sides of length x.   [#permalink] 11 Nov 2017, 18:25
Display posts from previous: Sort by