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

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Intern
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Joined: 24 Jul 2012
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A square garden is surrounded by a 2 feet wide walkway on  [#permalink]

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New post 26 Jul 2012, 05:34
1
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A
B
C
D
E

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

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New post 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
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

Answer (D)

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

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New post 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 :roll: . Thanks for the solution.
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Re: A square garden is surrounded by a 2 feet wide walkway on  [#permalink]

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New post 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

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

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New post 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.

Correct answer: Option D
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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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