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# A square has a diagonal of length x, what is the area of the square in

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Math Expert
Joined: 02 Sep 2009
Posts: 51218
A square has a diagonal of length x, what is the area of the square in  [#permalink]

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23 Aug 2018, 02:23
00:00

Difficulty:

15% (low)

Question Stats:

76% (00:48) correct 24% (00:37) wrong based on 51 sessions

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A square has a diagonal of length x, what is the area of the square in terms of x?

A. 4x^2
B. 2x^2
C. x^2
D. x^2/2
E. x^2/4

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Director
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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23 Aug 2018, 02:33
Bunuel wrote:
A square has a diagonal of length x, what is the area of the square in terms of x?

A. 4x^2
B. 2x^2
C. x^2
D. x^2/2
E. x^2/4

if diagonal = x
side = x/root 2
area = side ^2 = x^2/2
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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23 Aug 2018, 02:33
1
Bunuel wrote:
A square has a diagonal of length x, what is the area of the square in terms of x?

A. 4x^2
B. 2x^2
C. x^2
D. x^2/2
E. x^2/4

Given , Length of diagonal=x
We know length of diagonal of square=$$\sqrt{2}*length of side$$
So, length of side=$$x/\sqrt{2}$$

Area of square=$$(x/\sqrt{2})^2=\frac{x^2}{2}$$

Ans. (D)
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PKN

Rise above the storm, you will find the sunshine

Intern
Joined: 09 Sep 2018
Posts: 15
Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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28 Sep 2018, 11:51
wrong tag. this is not 600-700. This is 300-500.

Director
Joined: 19 Oct 2013
Posts: 509
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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28 Sep 2018, 12:07
45:45:90 triangle is formed when we have a diagonal of a square

Since the question stem has x as a variable we let the values from the 45:45:90 be y

y:y: y sqrt 2

We know the diagonal is x so x = y sqrt 2

Now y = x/ sqrt 2

Area = y^2 = (x/sqrt 2)^2 = x^2/2

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Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 931
WE: Supply Chain Management (Energy and Utilities)
Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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28 Sep 2018, 17:19
martinod20 wrote:
wrong tag. this is not 600-700. This is 300-500.

Hi martinod20,

It may be noted that level of the question is determined based on the results of timer attempts by the GC users. You may notice that 72% is the optimum correct response,though the question seems easy to you.

Hope it helps.
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Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Joined: 11 Feb 2015
Posts: 617
Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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29 Sep 2018, 10:00
martinod20 wrote:
wrong tag. this is not 600-700. This is 300-500.

I think it seems to be sub 600 level question. Its easy, straightforward but it does require you to recall some concepts and use them. I feel its ok!
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Manish

"Only I can change my life. No one can do it for me"

Re: A square has a diagonal of length x, what is the area of the square in &nbs [#permalink] 29 Sep 2018, 10:00
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