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In the figure, diagonal BD of square ABCD is 3. What is the perimeter

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In the figure, diagonal BD of square ABCD is 3. What is the perimeter  [#permalink]

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New post 31 Jan 2019, 22:03
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:32) correct 22% (00:42) wrong based on 29 sessions

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Re: In the figure, diagonal BD of square ABCD is 3. What is the perimeter  [#permalink]

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New post 31 Jan 2019, 23:49
Bunuel wrote:
Image
In the figure, diagonal BD of square ABCD is 3. What is the perimeter of the square?

A) 4.5

B) 12

C) \(3 \sqrt{2}\)

D) \(6 \sqrt{2}\)

E) \(12 \sqrt{2}\)

Attachment:
#GREpracticequestion In the figure, diagonal BD of square ABCD.jpg


Diagonal of the square = \(√2\)*Side of the square

i.e. 3 = √2*a
i.e. a = \(3/√2\)

Perimeter of the square \(= 4*a = 4*(3/√2) = 6√2\)

Answer: Option D
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In the figure, diagonal BD of square ABCD is 3. What is the perimeter  [#permalink]

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New post 01 Feb 2019, 10:49
s^2+s^2=9
s=2*sqrt2 * 3
s= 6 sqrt2
IMO D

Bunuel wrote:
Image
In the figure, diagonal BD of square ABCD is 3. What is the perimeter of the square?

A) 4.5

B) 12

C) \(3 \sqrt{2}\)

D) \(6 \sqrt{2}\)

E) \(12 \sqrt{2}\)

Attachment:
#GREpracticequestion In the figure, diagonal BD of square ABCD.jpg
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Re: In the figure, diagonal BD of square ABCD is 3. What is the perimeter  [#permalink]

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New post 01 Feb 2019, 11:00
Bunuel wrote:
In the figure, diagonal BD of square ABCD is 3. What is the perimeter of the square?

A) 4.5

B) 12

C) \(3 \sqrt{2}\)

D) \(6 \sqrt{2}\)

E) \(12 \sqrt{2}\)



diagonal = \(\sqrt{2}\)s
s = 3/\(\sqrt{2}\)

Perimeter = 4 * 3/\(\sqrt{2}\)

Multiply the ratio with \(\sqrt{2}\)

D
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Re: In the figure, diagonal BD of square ABCD is 3. What is the perimeter  [#permalink]

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New post 01 Feb 2019, 14:48
The Square has four 90 Degree angles.

With a bisecting line, that constitutes a 45-45-90 right triangle.

x root 2 = 3

x = 12 root 2 / 2

x = 6 root 2

Answer : D
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Re: In the figure, diagonal BD of square ABCD is 3. What is the perimeter   [#permalink] 01 Feb 2019, 14:48
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