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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: 12
Schools: Schulich '16
GMAT 1: 610 Q49 V26
WE: Consulting (Consulting)
A square garden is surrounded by a 2 feet wide walkway on  [#permalink]

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26 Jul 2012, 05:34
1
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:59) correct 33% (02:12) wrong based on 186 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
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Joined: 29 Mar 2012
Posts: 295
Location: India
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q50 V28
GMAT 3: 730 Q50 V38
Re: A square garden is surrounded by a 2 feet wide walkway  [#permalink]

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26 Jul 2012, 07:50
2
Hi,

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

As per the below diagram,
Attachment:

square.jpg [ 11.57 KiB | Viewed 7918 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: 12
Schools: Schulich '16
GMAT 1: 610 Q49 V26
WE: Consulting (Consulting)
Re: A square garden is surrounded by a 2 feet wide walkway  [#permalink]

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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.
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Joined: 22 Aug 2013
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Location: India
Re: A square garden is surrounded by a 2 feet wide walkway on  [#permalink]

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27 May 2017, 04:17
1
Let 'x' be the side of garden excluding the walkway.
Thus side of garden including the walkway = (x+4) (since its 2 feet on both sides)

Area = (x+4)^2 = 225 Or (x+4) = 15 Or x = 11

Right now side of square garden is 11 feet. New side = 11+5 = 16 feet
New Area = 16*16 = 256 sq feet

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

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28 Oct 2018, 15:09

Solution

Given:
• 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.
• Garden is broadened by increasing side of the garden by 5 units.

To find:
• Area of the garden if the garden is broadened by increasing side of the garden by 5 units.

Approach and Working

• Let the side of the garden is x feet.
o Hence, the side of garden +walkway= l+4 feet
• $$(x+4)^2$$= 225
o x= 11
• x+5= 16
• $$(x+5)^2$$= 256 feet.

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A square garden is surrounded by a 2 feet wide walkway on   [#permalink] 28 Oct 2018, 15:09
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