2018年全美数学竞赛（AMC）竞赛
\textbf{2018年全美数学竞赛（AMC）竞赛}  Tyler is tiling the floor of his $$12$$ foot by $$16$$ foot living room. He plans to place one-foot by one-foot square tiles to form a border along the edges of the room and to fill in the rest of the floor with two-foot by two-foot square tiles. How many tiles will he use?．
课内体系->知识点->四边形->特殊平行四边形->矩形->矩形的周长与面积 美国AMC8->Knowledge Point->Word Problem->Word Problems Combining with Geometry->Tiles Word Problems
Tyler要给自己$$12$$英尺$$\times 16$$英尺的房间铺地板．为此他打算用边长一英尺的方砖沿墙边铺，并用边长两英尺的地砖铺剩下的地面．他需要多少块地砖？  他将在边上周围放置$$(12\cdot 2)+(14\cdot 2)=52$$块瓷砖．在房间的内部，我们有$$10\cdot 14=140$$平方英尺．每个瓷砖占$$4$$个平方英尺，所以他会在房间的内部使用$$\frac {140}{4}=35$$块瓷砖．因此，答案是$$52+35=87$$．  故选$$\text{B}$$．  He will place $$(12\cdot 2)+(14\cdot 2)=52$$ tiles around the border. For the inner part of the room, we have $$10\cdot 14=140$$ square feet. Each tile takes up $$4$$ square feet, so he will use $$\frac{140}{4}=35$$ tiles for the inner part of the room. Thus, the answer is $$52+35=87$$. 