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# Planning is in progress for a fenced, rectangular playground with an a

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Math Expert
Joined: 02 Sep 2009
Posts: 47918
Planning is in progress for a fenced, rectangular playground with an a  [#permalink]

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30 Jul 2018, 22:07
00:00

Difficulty:

35% (medium)

Question Stats:

73% (00:59) correct 27% (02:45) wrong based on 77 sessions

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Planning is in progress for a fenced, rectangular playground with an area of 1,600 square meters. The graph above shows the perimeter, in meters, as a function of the length of the playground. The length of the playground should be how many meters to minimize the perimeter and, therefore, the amount of fencing needed to enclose the playground?

A. 10
B. 40
C. 60
D. 160
E. 340

NEW question from GMAT® Quantitative Review 2019

(PS14060)

Attachment:

shot28.jpg [ 14.9 KiB | Viewed 673 times ]

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Intern
Joined: 11 Jul 2018
Posts: 20
Re: Planning is in progress for a fenced, rectangular playground with an a  [#permalink]

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30 Jul 2018, 23:03
1
Lowest point on the graph is 40, 160
i.e. Length = 40 and Perimeter = 160

This is lowest for both Length as well as perimeter.

But this looks like a trick question and may have some hidden meaning
Manager
Joined: 18 Jun 2018
Posts: 96
Planning is in progress for a fenced, rectangular playground with an a  [#permalink]

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30 Jul 2018, 23:13
Bunuel wrote:

Planning is in progress for a fenced, rectangular playground with an area of 1,600 square meters. The graph above shows the perimeter, in meters, as a function of the length of the playground. The length of the playground should be how many meters to minimize the perimeter and, therefore, the amount of fencing needed to enclose the playground?

A. 10
B. 40
C. 60
D. 160
E. 340

NEW question from GMAT® Quantitative Review 2019

(PS14060)

Attachment:
shot28.jpg

OA:B
Lowest point on the graph(40,160) where 40 is the length and 160 is perimeter.
So length should be 40
This matches with
Quote:
Among all rectangles of given area, the square has the least perimeter.

Given Area = $$1600 m^2$$
For perimeter to be least, it should be square with side a.
$$a^2=1600m^2$$
$$a=40 m$$
$$Perimeter =4a =4*40 =160 m$$
Intern
Joined: 03 Sep 2017
Posts: 9
Re: Planning is in progress for a fenced, rectangular playground with an a  [#permalink]

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31 Jul 2018, 03:21
Answer is B. The graph seems a distraction as you can backsolve to get an answer. Also Square has the least perimeter when it comes to Polygons so B jumps out at you
Intern
Joined: 20 Jul 2017
Posts: 1
Re: Planning is in progress for a fenced, rectangular playground with an a  [#permalink]

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14 Aug 2018, 23:32
bangu wrote:
Lowest point on the graph is 40, 160
i.e. Length = 40 and Perimeter = 160

This is lowest for both Length as well as perimeter.

But this looks like a trick question and may have some hidden meaning

To minimize perimeter i.e the rectangle must become a square
Therefore a^2=1600 . =>a=40
Re: Planning is in progress for a fenced, rectangular playground with an a &nbs [#permalink] 14 Aug 2018, 23:32
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# Planning is in progress for a fenced, rectangular playground with an a

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