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# If a square parking lot has an area of z, what is the longes

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If a square parking lot has an area of z, what is the longes [#permalink]  19 May 2018, 07:05
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Question Stats:

50% (00:17) correct 50% (00:19) wrong based on 4 sessions
If a square parking lot has an area of z, what is the longest distance on a straight line that a car could drive on the lot?

A. $$z$$

B. $$\sqrt{2z}$$

C. $$2 \sqrt{z}$$

D. $$z \sqrt{2}$$

E. $$2z$$
[Reveal] Spoiler: OA

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Last edited by Carcass on 20 May 2018, 09:59, edited 1 time in total.
Edit the choices
Manager
Joined: 26 Jan 2018
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Re: If a square parking lot has an area of z, what is the longes [#permalink]  19 May 2018, 09:34
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Root over 2*z should be the answer which is not given in the options. Area of the square is z which implies the side is root over z. Longest straight line inside square is its diagonal which is root over 2*side.

So on solving , we get the solution which is not given in the options.
Moderator
Joined: 18 Apr 2015
Posts: 5130
Followers: 77

Kudos [?]: 1029 [0], given: 4636

Re: If a square parking lot has an area of z, what is the longes [#permalink]  20 May 2018, 10:00
Expert's post
yes, you right. Edited option B.

Thank you so much.

Regards
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Re: If a square parking lot has an area of z, what is the longes   [#permalink] 20 May 2018, 10:00
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