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 asfollows,
\((x+4)(y+4) - xy = xy + 4x + 4y + 16 - xy = 4x + 4y + 16\)
Therefore,4x+4y+16(Option D) is the area of the walkway
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