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In a square, the length of a side is s and the diagonal is d. What is

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In a square, the length of a side is s and the diagonal is d. What is  [#permalink]

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Updated on: 17 May 2017, 06:53
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5% (low)

Question Stats:

92% (00:39) correct 8% (01:03) wrong based on 72 sessions

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In a square, the length of a side is s and the diagonal is d. What is the perimeter of the square?

(1) The area is 25 cm2.

(2) The diagonal is $$5\sqrt{2}$$ cm.

_________________

Originally posted by Bunuel on 20 Apr 2017, 22:31.
Last edited by Bunuel on 17 May 2017, 06:53, edited 1 time in total.
Edited the question.
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Joined: 02 Feb 2017
Posts: 7
Re: In a square, the length of a side is s and the diagonal is d. What is  [#permalink]

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21 Apr 2017, 05:33
1
Bunuel wrote:
In a square, the length of a side is s and the diagonal is d. What is the perimeter of the square?

(1) The area is 25 cm2.

(2) The diagonal is $$10\sqrt{2}$$ in.

Given - Side = S,Diagonal=d.

Perimeter = 4S -->to be found

1) Area = s^2 = 25
Hence , S=5. Therefore Perimeter 4S=4*5.

2) Diagonal = $$10\sqrt{2}$$ in.
Here X=90 degree and y=z=45 degree.
Using pythagoras theorem of 90:45:45 -> x√2 : x: x
We can find the side and solve for Permieter.

So - D

Sorry for the poor diagram
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Re: In a square, the length of a side is s and the diagonal is d. What is  [#permalink]

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21 Apr 2017, 22:02
1
Bunuel wrote:
In a square, the length of a side is s and the diagonal is d. What is the perimeter of the square?

(1) The area is 25 cm2.

(2) The diagonal is $$10\sqrt{2}$$ in.

Area of a square = $$side^2$$
Diagonal of a square = $$\sqrt{2}*side$$
Perimeter of a square = 4*side

1) Area = 25cm2 => side = 5cm => Perimeter = 20cm => SUFFICIENT
2) Diagonal = $$10\sqrt{2}$$ in. => Side = 10in. => Perimiter = 40in.

IMO D. But answers don't match..
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Re: In a square, the length of a side is s and the diagonal is d. What is  [#permalink]

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17 May 2017, 06:48
1
Sirakri wrote:
Bunuel wrote:
In a square, the length of a side is s and the diagonal is d. What is the perimeter of the square?

(1) The area is 25 cm2.

(2) The diagonal is $$10\sqrt{2}$$ in.

Area of a square = $$side^2$$
Diagonal of a square = $$\sqrt{2}*side$$
Perimeter of a square = 4*side

1) Area = 25cm2 => side = 5cm => Perimeter = 20cm => SUFFICIENT
2) Diagonal = $$10\sqrt{2}$$ in. => Side = 10in. => Perimiter = 40in.

IMO D. But answers don't match..

Bunuel statement 1 gives us side 5 whereas statement 2 is giving us length of side 10. Don't you think both the statements are contradicting each other.
Math Expert
Joined: 02 Sep 2009
Posts: 52164
Re: In a square, the length of a side is s and the diagonal is d. What is  [#permalink]

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17 May 2017, 06:55
GovindAgrawal wrote:
Sirakri wrote:
Bunuel wrote:
In a square, the length of a side is s and the diagonal is d. What is the perimeter of the square?

(1) The area is 25 cm2.

(2) The diagonal is $$10\sqrt{2}$$ in.

Area of a square = $$side^2$$
Diagonal of a square = $$\sqrt{2}*side$$
Perimeter of a square = 4*side

1) Area = 25cm2 => side = 5cm => Perimeter = 20cm => SUFFICIENT
2) Diagonal = $$10\sqrt{2}$$ in. => Side = 10in. => Perimiter = 40in.

IMO D. But answers don't match..

Bunuel statement 1 gives us side 5 whereas statement 2 is giving us length of side 10. Don't you think both the statements are contradicting each other.

You are absolutely correct. (2) should read: the diagonal is$$5\sqrt{2}$$cm. Edited.
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Re: In a square, the length of a side is s and the diagonal is d. What is &nbs [#permalink] 17 May 2017, 06:55
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