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

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

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New post 23 Aug 2018, 03:23
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

87% (00:51) correct 13% (01:08) wrong based on 53 sessions

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Director
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Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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New post 23 Aug 2018, 03:33
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
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Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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New post 23 Aug 2018, 03:33
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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Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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New post 28 Sep 2018, 12:51
wrong tag. this is not 600-700. This is 300-500.

Don't fool us please :)
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Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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New post 28 Sep 2018, 13:07
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

Answer choice D

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Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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New post 28 Sep 2018, 18:19
martinod20 wrote:
wrong tag. this is not 600-700. This is 300-500.

Don't fool us please :)


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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Re: A square has a diagonal of length x, what is the area of the square in  [#permalink]

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New post 29 Sep 2018, 11:00
martinod20 wrote:
wrong tag. this is not 600-700. This is 300-500.

Don't fool us please :)


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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Re: A square has a diagonal of length x, what is the area of the square in   [#permalink] 29 Sep 2018, 11:00
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