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# The rectangular garden represented in the figure above, with dimension

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Math Expert
Joined: 02 Sep 2009
Posts: 42249

Kudos [?]: 132588 [0], given: 12326

The rectangular garden represented in the figure above, with dimension [#permalink]

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26 Sep 2017, 23:24
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Question Stats:

86% (00:30) correct 14% (01:08) wrong based on 14 sessions

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The rectangular garden represented in the figure above, with dimensions x feet by y feet is surrounded by a walkway 2 feet wide. Which of the following represents the area of the
walkway, in square feet?

(A) 2x + 2y + 4
(B) 2x + 2y + 16
(C) 4x + 4y + 8
(D) 4x + 4y + 16
(E) 4x + 4y + 32

[Reveal] Spoiler:
Attachment:

2017-09-27_1015_002.png [ 961 Bytes | Viewed 320 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 132588 [0], given: 12326

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Joined: 26 Feb 2016
Posts: 1596

Kudos [?]: 670 [0], given: 17

Location: India
WE: Sales (Retail)
The rectangular garden represented in the figure above, with dimension [#permalink]

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26 Sep 2017, 23:40

The outer rectangle has dimensions x+4 and y+4,
when the dimensions of the inner rectangle have been given to be x and y.

The area of the walkway, will be the difference of the area of the outer rectangle and the area of the inner rectangle.

Mathematically, this can be represented as follows,
$$(x+4)(y+4) - xy = xy + 4x + 4y + 16 - xy = 4x + 4y + 16$$

Therefore, 4x+4y+16(Option D) is the area of the walkway
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Kudos [?]: 670 [0], given: 17

The rectangular garden represented in the figure above, with dimension   [#permalink] 26 Sep 2017, 23:40
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