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What is the area of the square?

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GMATDemiGod
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What is the area of the square? [#permalink] New post   07 Dec 2015, 17:21
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A
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D
E

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Question Stats:

85% (00:29) correct 15% (01:03) wrong based on 58 sessions
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What is the area of the square?

a) The diagonal of the square is Root(50)

b) Perimeter of the square is 20


* tried to make my own problem
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D
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D
Kurtosis
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Re: What is the area of the square? [#permalink] New post   07 Dec 2015, 21:27
St1: d = sqrt(50) --> Area = (d^2)/2 --> Sufficient

St2: 4l = 20 --> l = 5 --> Area = l^2 --> Sufficient

Answer: D
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Re: What is the area of the square? [#permalink] New post   08 Dec 2015, 00:45
The 4 length/side (S) of the square is equal.

So here, as per statement (a): The diagonal of the square is Root (50)

#Diagonal of the square (D) = S Root (2)
Means, Root(50) = S Root (2)
Or, S=Root (50)/Root(2)=Root(25)
Hence, S=Root (25)
#Formula of Area=S^2
Or, Area= we have to find square of Root (25)
So, Area=25

Hence, statement (a) is sufficient to find the area of the square.

As per statement (b):Perimeter of the square is 20

Means, P=20
#Perimeter of the Square, (P)=4S
Hereby, 4S=20 or S=5
#Formula of Area=S^2
Or Area= 5^2=25
So, Area=25
Hence, statement (b) is sufficient to find the area of the square.

Answer: (D), EACH statement ALONE is sufficient to answer the question asked.
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Re: What is the area of the square? [#permalink] New post   08 Dec 2015, 01:22
Diagonal of the square =root2*side
let side be s
1.from a
diagonal =root50
root2*s=root50
s2=25
area =25

sufficient


2.From b
perimiter =4s=20 => s=5
area =25

sufficient

each sufficient
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Re: What is the area of the square? [#permalink] New post   21 May 2017, 08:58
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Bunuel: Please move to DS
GMATDemiGod wrote:
What is the area of the square?

a) The diagonal of the square is Root(50)

b) Perimeter of the square is 20


* tried to make my own problem
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Bunuel
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Re: What is the area of the square? [#permalink] New post   21 May 2017, 09:00
Expert Reply
BrushMyQuant wrote:
Bunuel: Please move to DS
GMATDemiGod wrote:
What is the area of the square?

a) The diagonal of the square is Root(50)

b) Perimeter of the square is 20


* tried to make my own problem

______________
Done. Thank you.
GMAT Club Bot
gmatclubot
Re: What is the area of the square? [#permalink]
21 May 2017, 09:00
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Bunuel
Math Expert
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