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The rectangular garden represented in the figure above, with dimension

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

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New post 26 Sep 2017, 23:24
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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
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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The rectangular garden represented in the figure above, with dimension [#permalink]

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New post 26 Sep 2017, 23:40
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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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