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What is the perimeter of one such smaller square?

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by swerve » Sun Nov 19, 2017 1:49 pm
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The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square?

A. 1/16
B. 1/6
C. 1/4
D. 1/2
E. 3/4

The OA is D.

Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks.
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What is the perimeter of one such smaller square?

by Brent@GMATPrepNow » Sun Nov 19, 2017 2:17 pm
swerve wrote:Image

The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square?

A. 1/16
B. 1/6
C. 1/4
D. 1/2
E. 3/4

The OA is D.
Since all 4 sides of a square are EQUAL length, the perimeter = 4(side length)

GIVEN: the perimeter of the larger square is 1
So, 4(side length) = 1
Divide both sides by 4 to get: side length of LARGE square = 1/4

So, the ONE SMALLER square has a side length of 1/8 (since 2 small square sides = the length of the large square side)

What is the perimeter of one such smaller square?
Perimeter = 4(side length)
= (4)(1/8)
= 4/8
= 1/2

Answer: C

Cheers,
Brent
Last edited by Brent@GMATPrepNow on Mon Apr 16, 2018 12:56 pm, edited 1 time in total.
Brent Hanneson - Creator of GMATPrepNow.com
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by Jeff@TargetTestPrep » Wed Nov 22, 2017 11:19 am
swerve wrote:Image

The figure above is a square divided into four identical squares. If the perimeter of the larger square is 1, then what is the perimeter of one such smaller square?

A. 1/16
B. 1/6
C. 1/4
D. 1/2
E. 3/4
Since the perimeter of the larger square is 1, each side is 1/4. Thus, each side of each smaller square is (1/4)/2 = 1/8.

Finally the perimeter of one of the smaller squares is 4 x 1/8 = 1/2.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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