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04 Dec 2014, 07:52
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A
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Difficulty:
25%
(medium)
Question Stats:
76% (01:28) correct
24%
(01:36)
wrong
based on 138
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The figure below is a square. What is its perimeter (measured in units)? 
2014-12-04_1851.png [ 4.01 KiB | Viewed 5995 times ]
A) \(6 \sqrt{2}\)
B) 9
C) 12
D) \(12 \sqrt{2}\)
E) 18
Source: Chili Hot GMAT
Attachment:
2014-12-04_1851.png [ 4.01 KiB | Viewed 5995 times ]
A) \(6 \sqrt{2}\)
B) 9
C) 12
D) \(12 \sqrt{2}\)
E) 18
Source: Chili Hot GMAT
hopeful101candidate
Joined: 12 Aug 2014
Last visit: 15 May 2018
Posts: 144
Given Kudos: 29
Location: United States (AZ)
Concentration: Finance, Strategy
Schools: Cnsrtm-Johnson '20 (A) Cnsrtm-Darden '20 (A) Cnsrtm-Goizueta '20 (A) Cnsrtm-McCombs '20 (A)
GMAT 1: 700 Q47 V39
Schools: Cnsrtm-Johnson '20 (A) Cnsrtm-Darden '20 (A) Cnsrtm-Goizueta '20 (A) Cnsrtm-McCombs '20 (A)
GMAT 1: 700 Q47 V39
Posts: 144
04 Dec 2014, 07:57
Kudos
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The figure below is a square. What is its perimeter (measured in units)?
From the figure, we can see that the diagonal of the square measures 3 units, which corresponds to the 90 degree angle. Therefore, the measure of each side of the square is 3/sqrt(2) units. The perimeter would then be: 4 * 3/sqrt(2) = 12/sqrt(2). If you simplify, you get: 12*sqrt(2)/2, which equals 6*sqrt(2).
Answer is A.
From the figure, we can see that the diagonal of the square measures 3 units, which corresponds to the 90 degree angle. Therefore, the measure of each side of the square is 3/sqrt(2) units. The perimeter would then be: 4 * 3/sqrt(2) = 12/sqrt(2). If you simplify, you get: 12*sqrt(2)/2, which equals 6*sqrt(2).
Answer is A.
04 Dec 2014, 11:35
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The figure below is a square. What is its perimeter (measured in units)?
img.png [ 4.67 KiB | Viewed 5906 times ]
A) 6 \(\sqrt{2}\)
B) 9
C) 12
D) 12 \(\sqrt{2}\)
E) 18
Draw the diagonal first horizontal or vertical your wish.
AS we know sides of a square make 90 degree angle.
so the length of the diagonal is 3 as mentioned with the help of a diagonal we can find the side of the square.
their are two ways to find a side of the square :
1) using the triangle property of 45:45:90
from which we can easily find the side i.e \(\frac{3}{\sqrt{2}}\)
2) By using the diagonal formula i.e \(\sqrt{2}*a\) = diagonal ---> where a is the side of the square.
from here we can easily find the side i.e \(\frac{3}{\sqrt{2}}\)
So the perimeter of the square is\(4*\frac{3}{\sqrt{2}}\) = 6 \(\sqrt{2}\) Ans!
Hence A! ans
Regards
SG
Attachment:
img.png [ 4.67 KiB | Viewed 5906 times ]
A) 6 \(\sqrt{2}\)
B) 9
C) 12
D) 12 \(\sqrt{2}\)
E) 18
Draw the diagonal first horizontal or vertical your wish.
AS we know sides of a square make 90 degree angle.
so the length of the diagonal is 3 as mentioned with the help of a diagonal we can find the side of the square.
their are two ways to find a side of the square :
1) using the triangle property of 45:45:90
from which we can easily find the side i.e \(\frac{3}{\sqrt{2}}\)
2) By using the diagonal formula i.e \(\sqrt{2}*a\) = diagonal ---> where a is the side of the square.
from here we can easily find the side i.e \(\frac{3}{\sqrt{2}}\)
So the perimeter of the square is\(4*\frac{3}{\sqrt{2}}\) = 6 \(\sqrt{2}\) Ans!
Hence A! ans
Regards
SG
