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The garden is 10 meters long and 8 meters wide

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Intern
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Joined: 25 Oct 2016
Posts: 6
The garden is 10 meters long and 8 meters wide  [#permalink]

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New post 27 Sep 2018, 05:06
3
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

52% (01:36) correct 48% (01:48) wrong based on 27 sessions

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The garden is 10 meters long and 8 meters wide. A round pool with radius one meter has its center inside the garden. What is the probability that the whole pool is placed inside the garden (no part of the pool excesses the garden boundaries)?

A. 30%
B. 40%
C. 50%
D. 60%
E. 70%

Please help with a quick solution. Thanks!
Intern
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Joined: 11 Jun 2015
Posts: 19
Location: Iran (Islamic Republic of)
Concentration: Accounting, Finance
WE: Education (Education)
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Re: The garden is 10 meters long and 8 meters wide  [#permalink]

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New post 27 Sep 2018, 06:14
Different locations of the circle with 1 meter away from sides of the rectangle would create another rectangle with dimensions of 8*6. therefore,
the area of the new rectangle will be 48 and the area of the garden will be 80
48/80=0.60 or 60%
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Re: The garden is 10 meters long and 8 meters wide  [#permalink]

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New post 28 Sep 2018, 07:32
trankimphuong wrote:
The garden is 10 meters long and 8 meters wide. A round pool with radius one meter has its center inside the garden. What is the probability that the whole pool is placed inside the garden (no part of the pool excesses the garden boundaries)?

A. 30%
B. 40%
C. 50%
D. 60%
E. 70%

Please help with a quick solution. Thanks!


OA: D

Total area \(= 10*8\)

Favourable area\(= (10-2)*(8-2) = 8*6 = 48\)

Required Probability \(= \frac{48}{80}*100 = 60\)%
GMAT Club Bot
Re: The garden is 10 meters long and 8 meters wide &nbs [#permalink] 28 Sep 2018, 07:32
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The garden is 10 meters long and 8 meters wide

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