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The figure above s composed of 6 squares, each with side x centimeters

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The figure above s composed of 6 squares, each with side x centimeters [#permalink]

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New post 06 Nov 2017, 22:47
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The figure above s composed of 6 squares, each with side x centimeters. If the number of centimeters in the perimeter of the figure is equal to the number of square centimeters in its area, what is the value of x?

(A) 1
(B) 5/3
(C) 2
(D) 5/2
(E) 7/3

[Reveal] Spoiler:
Attachment:
2017-11-07_0940_001.png
2017-11-07_0940_001.png [ 1.37 KiB | Viewed 512 times ]
[Reveal] Spoiler: OA

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Re: The figure above s composed of 6 squares, each with side x centimeters [#permalink]

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New post 07 Nov 2017, 02:50
6x^2 - Area of the figure
14x - Perimeter of the figure
6x^2=14x
x=7/3
Answer E

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Re: The figure above s composed of 6 squares, each with side x centimeters [#permalink]

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New post 08 Nov 2017, 14:03
Total area = 6x^2
Perimeter = 14x

Equation: 6x^2 = 14x
Gives x = 7/3

Option E is the answer

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Re: The figure above s composed of 6 squares, each with side x centimeters [#permalink]

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New post 08 Nov 2017, 17:41
Bunuel wrote:
Image
The figure above s composed of 6 squares, each with side x centimeters. If the number of centimeters in the perimeter of the figure is equal to the number of square centimeters in
its area, what is the value of x?

(A) 1
(B) 5/3
(C) 2
(D) 5/2
(E) 7/3

[Reveal] Spoiler:
Attachment:
2017-11-07_0940_001.png


The perimeter of all 6 squares is 14x.

The area is 6x^2.

Since the perimeter is equal to the area, we have:

14x = 6x^2

7 = 3x

7/3 = x

Answer: E
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Re: The figure above s composed of 6 squares, each with side x centimeters [#permalink]

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New post 08 Nov 2017, 20:39
JeffTargetTestPrep wrote:
Bunuel wrote:
Image
The figure above s composed of 6 squares, each with side x centimeters. If the number of centimeters in the perimeter of the figure is equal to the number of square centimeters in
its area, what is the value of x?

(A) 1
(B) 5/3
(C) 2
(D) 5/2
(E) 7/3

[Reveal] Spoiler:
Attachment:
2017-11-07_0940_001.png


The perimeter of all 6 squares is 14x.

The area is 6x^2.

Since the perimeter is equal to the area, we have:

14x = 6x^2

7 = 3x

7/3 = x

Answer: E

@JeffTargetTestPrep can u pls explain how perimeter is 14x ?

Sent from my Redmi 3S using GMAT Club Forum mobile app

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

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Math Expert
User avatar
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Joined: 02 Sep 2009
Posts: 42559

Kudos [?]: 135331 [0], given: 12687

Re: The figure above s composed of 6 squares, each with side x centimeters [#permalink]

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New post 08 Nov 2017, 21:10
Spongebob02 wrote:
JeffTargetTestPrep wrote:
Bunuel wrote:
Image
The figure above s composed of 6 squares, each with side x centimeters. If the number of centimeters in the perimeter of the figure is equal to the number of square centimeters in
its area, what is the value of x?

(A) 1
(B) 5/3
(C) 2
(D) 5/2
(E) 7/3

[Reveal] Spoiler:
Attachment:
2017-11-07_0940_001.png


The perimeter of all 6 squares is 14x.

The area is 6x^2.

Since the perimeter is equal to the area, we have:

14x = 6x^2

7 = 3x

7/3 = x

Answer: E

JeffTargetTestPrep can u pls explain how perimeter is 14x ?

Sent from my Redmi 3S using GMAT Club Forum mobile app


The length of each side is x centimeters. 14 sides are exposed, thus the perimeter is 14x.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135331 [0], given: 12687

Re: The figure above s composed of 6 squares, each with side x centimeters   [#permalink] 08 Nov 2017, 21:10
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The figure above s composed of 6 squares, each with side x centimeters

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