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# The garden is 10 meters long and 8 meters wide

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

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27 Sep 2018, 05:06
3
00:00

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%

Intern
Joined: 11 Jun 2015
Posts: 19
Location: Iran (Islamic Republic of)
Concentration: Accounting, Finance
WE: Education (Education)
Re: The garden is 10 meters long and 8 meters wide  [#permalink]

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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%
Senior Manager
Joined: 18 Jun 2018
Posts: 260
Re: The garden is 10 meters long and 8 meters wide  [#permalink]

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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%

OA: D

Total area $$= 10*8$$

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

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