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# If a square region has area x, what is the length of the diagonal of

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

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28 May 2017, 04:01
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If a square region has area x, what is the length of its diagonal in terms of x ?

A) $$\sqrt{x}$$

B) $$\sqrt{2x}$$

C) $$2 \sqrt{x}$$

D) $$x \sqrt{2}$$

E) $$2x$$
[Reveal] Spoiler: OA

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Joined: 18 Aug 2016
Posts: 631
Re: If a square region has area x, what is the length of the diagonal of [#permalink]

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28 May 2017, 04:07
B as the diagonal of a square with side a is sqrt(2) * a. Here a is sqrt(x)

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Luckisnoexcuse

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Joined: 02 Sep 2009
Posts: 44609
Re: If a square region has area x, what is the length of the diagonal of [#permalink]

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28 May 2017, 04:13
carcass wrote:
If a square region has area x, what is the length of its diagonal in terms of x ?

A) $$\sqrt{x}$$

B) $$\sqrt{2x}$$

C) $$2 \sqrt{x}$$

D) $$x \sqrt{2}$$

E) $$2x$$

Are of a square = $$\frac{diagonal^2}{2}$$.

Given: $$\frac{diagonal^2}{2}=x$$;

$$diagonal=\sqrt{2x}$$.

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

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09 Apr 2018, 02:01
Bunuel wrote:
carcass wrote:
If a square region has area x, what is the length of its diagonal in terms of x ?

A) $$\sqrt{x}$$

B) $$\sqrt{2x}$$

C) $$2 \sqrt{x}$$

D) $$x \sqrt{2}$$

E) $$2x$$

Are of a square = $$\frac{diagonal^2}{2}$$.

Given: $$\frac{diagonal^2}{2}=x$$;

$$diagonal=\sqrt{2x}$$.

Hello Bunuel isnt the formula of the area of square $$a^2$$ where $$a$$ is side of square ?

is it another formula ? $$\frac{diagonal^2}{2}$$. does diagonal of square mean $$a\sqrt{2}$$ cause you write so $$diagonal^2$$

have a great monday
Math Expert
Joined: 02 Sep 2009
Posts: 44609
Re: If a square region has area x, what is the length of the diagonal of [#permalink]

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09 Apr 2018, 02:05
1
KUDOS
Expert's post
dave13 wrote:
Bunuel wrote:
carcass wrote:
If a square region has area x, what is the length of its diagonal in terms of x ?

A) $$\sqrt{x}$$

B) $$\sqrt{2x}$$

C) $$2 \sqrt{x}$$

D) $$x \sqrt{2}$$

E) $$2x$$

Are of a square = $$\frac{diagonal^2}{2}$$.

Given: $$\frac{diagonal^2}{2}=x$$;

$$diagonal=\sqrt{2x}$$.

Hello Bunuel isnt the formula of the area of square $$a^2$$ where $$a$$ is side of square ?

is it another formula ? $$\frac{diagonal^2}{2}$$. does diagonal of square mean $$a\sqrt{2}$$ cause you write so $$diagonal^2$$

have a great monday

Yes, the area of a square could also be found by $$\frac{diagonal^2}{2}$$.
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Re: If a square region has area x, what is the length of the diagonal of   [#permalink] 09 Apr 2018, 02:05
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