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

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

Kudos [?]: 34 [0], given: 7

A square garden is surrounded by a 2 feet wide walkway on [#permalink]

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26 Jul 2012, 04:34
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Difficulty:

55% (hard)

Question Stats:

56% (02:46) correct 44% (01:36) wrong based on 95 sessions

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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
Joined: 28 Mar 2012
Posts: 313
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Followers: 29

Kudos [?]: 385 [0], given: 23

Re: A square garden is surrounded by a 2 feet wide walkway [#permalink]

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26 Jul 2012, 06:50
Hi,

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

As per the below diagram,
Attachment:

square.jpg [ 11.57 KiB | Viewed 2283 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

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

Kudos [?]: 34 [0], given: 7

Re: A square garden is surrounded by a 2 feet wide walkway [#permalink]

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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 . 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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