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

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A square garden is surrounded by a 2 feet wide walkway [#permalink]  26 Jul 2012, 05:34
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36% (02:57) correct 63% (01:25) wrong based on 2 sessions
Q) 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
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Re: A square garden is surrounded by a 2 feet wide walkway [#permalink]  26 Jul 2012, 07:50
Hi,

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

As per the below diagram,
Attachment:

square.jpg [ 11.57 KiB | Viewed 849 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

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

Kudos [?]: 0 [0], given: 6

Re: A square garden is surrounded by a 2 feet wide walkway [#permalink]  26 Jul 2012, 09:49
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, 09:49
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