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26 Sep 2017, 23:24
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D
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Difficulty:
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Question Stats:
77% (01:32) correct
23%
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wrong
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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
Attachment:
2017-09-27_1015_002.png [ 961 Bytes | Viewed 6613 times ]
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
03 Apr 2019, 07:17
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inner rectangle has one side as x and the other side as y.
area is xy.
Outer rectangle has x+2+2= (x+4) as one side and (y+4) as another side.
area of the walk way = area of outer rectangle-area of the inner rectangle
i.e. (x+4)(y+4)-xy
xy+4x+4y+16-xy
4x+4y+16
D is the answer
area is xy.
Outer rectangle has x+2+2= (x+4) as one side and (y+4) as another side.
area of the walk way = area of outer rectangle-area of the inner rectangle
i.e. (x+4)(y+4)-xy
xy+4x+4y+16-xy
4x+4y+16
D is the answer
