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A square garden is surrounded by a 2 feet wide walkway on

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Intern
Intern
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Joined: 24 Jul 2012
Posts: 13
Schools: Schulich '16
GMAT 1: 610 Q49 V26
WE: Consulting (Consulting)
Followers: 0

Kudos [?]: 5 [0], given: 7

A square garden is surrounded by a 2 feet wide walkway on [#permalink] New post 26 Jul 2012, 04:34
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

52% (02:36) correct 48% (01:36) wrong based on 62 sessions
A square garden is surrounded by a 2 feet wide walkway on each side.The area of the garden and the walkway is 225 square feet.If the garden is broadened by increasing side of the garden by 5 units then what will be the area of the garden?

A. 121
B. 169
C. 225
D. 256
E. 324
[Reveal] Spoiler: OA
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Joined: 28 Mar 2012
Posts: 285
Concentration: Entrepreneurship
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 16

Kudos [?]: 150 [0], given: 23

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Re: A square garden is surrounded by a 2 feet wide walkway [#permalink] New post 26 Jul 2012, 06:50
Hi,

Area of garden & path = 225
Side = \sqrt{225} = 15 ft

As per the below diagram,
Attachment:
square.jpg
square.jpg [ 11.57 KiB | Viewed 1360 times ]

Side of garden = 11 ft

When sides of garden are increased by 5 ft,
new dimension = 11+5 = 16 ft
Area = 16^2 = 256

Answer (D)

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Intern
Intern
avatar
Joined: 24 Jul 2012
Posts: 13
Schools: Schulich '16
GMAT 1: 610 Q49 V26
WE: Consulting (Consulting)
Followers: 0

Kudos [?]: 5 [0], given: 7

Re: A square garden is surrounded by a 2 feet wide walkway [#permalink] New post 26 Jul 2012, 08:49
Thanks.

I missed to take 2 feet on both sides. so took the side of the garden as 15-2 =13.

so 13 +5 after increasing and the area of garden as 18^2 = 324.

Have to be careful :roll: . Thanks for the solution.
Re: A square garden is surrounded by a 2 feet wide walkway   [#permalink] 26 Jul 2012, 08:49
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