5. As shown in the right figure, a rectangular piece of paper is 20 cm long and 16 cm wide. If a smaller rectangle, 10 cm long and 5 cm wide, is cut from this paper, and at least one side of the smaller rectangle is on the edge of the original rectangle, then the maximum perimeter of the remaining paper is ( ) cm.
( A ) 72
( B ) 82
(C) 92
( D ) 102
【Answer】C
【Analysis】The conventional idea is that since it's impossible to cut a hole in the middle, the only options are to cut along the edges or at the vertices. It can be observed that cutting at the vertices does not change the perimeter, while cutting along the edges increases the perimeter by either two lengths or two widths of the small rectangle. Therefore, the maximum perimeter is achieved by increasing the two lengths, as shown in the figure.
【Difficulty】Random
【Knowledge Point】Perimeter of Irregular Shapes