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

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Joined: 02 Sep 2009
Posts: 58381
In the figure, diagonal BD of square ABCD is 3. What is the perimeter  [#permalink]

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31 Jan 2019, 22:03
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Difficulty:

25% (medium)

Question Stats:

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

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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 [ 9.44 KiB | Viewed 512 times ]

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

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31 Jan 2019, 23:49
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) $$12 \sqrt{2}$$

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 $$= 4*a = 4*(3/√2) = 6√2$$

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

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

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) $$12 \sqrt{2}$$

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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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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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

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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