The figure above shows a large square formed by fitting three L-shaped tiles and one small square tile together. If a rectangula

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问题

The figure above shows a large square formed by fitting three L-shaped tiles and one small square tile together. If a rectangular floor 10 feet by 12 feet is to be tiled in large squares of this design, how many L-shaped tiles will be needed?

选项 A、810
B、405
C、270
D、135
E、45

答案A

解析左面图形展示了由3个L形的瓦与1个小正方形的瓦所形成的大正方形。若给1个12英尺长，10英尺宽的长方形地板贴上这种图样的大正方形，问需要多少块L形的瓦?
解：本题的正确答案是(A)。1 foot=12 inches。长方形地板的长和宽换算成英寸为144 inches长120 inches宽，所以其面积为=120×144=17280。17280÷(8×8)=270。因为一个正方形由3个L形构成，所以贴该地板需L形的瓦的数目为：270×3=810

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