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505-555 (Easy)|   Geometry|      
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Bunuel
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A square has a diagonal of length x, what is the area of the square in 23 Aug 2018, 03:23
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D
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Difficulty:

15% (low)

Question Stats:

80% (00:57) correct 20% (01:20) wrong based on 89 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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D
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CounterSniper
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A square has a diagonal of length x, what is the area of the square in 23 Aug 2018, 03:33
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Bunuel
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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if diagonal = x
side = x/root 2
area = side ^2 = x^2/2
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PKN
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A square has a diagonal of length x, what is the area of the square in 23 Aug 2018, 03:33
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Bunuel
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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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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martinod20
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A square has a diagonal of length x, what is the area of the square in 28 Sep 2018, 12:51
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wrong tag. this is not 600-700. This is 300-500.

Don't fool us please :)
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Salsanousi
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A square has a diagonal of length x, what is the area of the square in 28 Sep 2018, 13:07
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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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PKN
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A square has a diagonal of length x, what is the area of the square in 28 Sep 2018, 18:19
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martinod20
wrong tag. this is not 600-700. This is 300-500.

Don't fool us please :)
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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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CAMANISHPARMAR
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A square has a diagonal of length x, what is the area of the square in 29 Sep 2018, 11:00
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martinod20
wrong tag. this is not 600-700. This is 300-500.

Don't fool us please :)
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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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A square has a diagonal of length x, what is the area of the square in 28 Jan 2023, 13:48
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