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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: 49275
A square has a diagonal of length x, what is the area of the square in  [#permalink]

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23 Aug 2018, 03:23
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Difficulty:

25% (medium)

Question Stats:

71% (00:53) correct 29% (00:55) wrong based on 17 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: 733
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, 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
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 851
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, 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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PKN

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