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

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

answer will be 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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New post 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: \(\frac{diagonal^2}{2}=x\);

\(diagonal=\sqrt{2x}\).

Answer: B.
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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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New post 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: \(\frac{diagonal^2}{2}=x\);

\(diagonal=\sqrt{2x}\).

Answer: B.


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 :)
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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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New post 09 Apr 2018, 02:05
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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: \(\frac{diagonal^2}{2}=x\);

\(diagonal=\sqrt{2x}\).

Answer: B.


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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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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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