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【OG20-P161-99题】
In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?
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分析A选项
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分析B选项
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分析C选项
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分析D选项
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分析E选项
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Let's set aside the fact that this is an awful floorplan. How would you find furniture to fit this house?!
If the two wall of the living room are parallel, then the kitchen and the (kitchen + living room + bath) are SIMILAR triangles. Similar triangles always have PROPORTIONAL sides. If we're given that the length of the left side of the kitchen is 30, and left side of the (kitchen + living room + bath) is 60 total, then the ratio of little triangle to big = 1 : 2. Thus, we can infer that the side lengths of the right-hand walls are 15 and 30:
If that's the case, then the bedroom (again, a ridiculously shaped room) is an EQUILATERAL triangle of 30 : 30 : 30.
To find the area of any equilateral triangle, chop it into two 30-60-90 triangles.
If the base is 30, the height will be153–√153
So, (1/2)(base)(height) =(12)(30)(153–√)(12)(30)(153)
=2253–√=2253
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题目讨论 （6条评论）
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221264lpy
Kitchen-Bathroom这条边是评分 而Living Room南北两侧平行 则Living Room北侧边是三角形中位线 所以Kitchen-Living Room这条边是30 依旧是Bedroom是等边三角形 正三角形面积√3/4a² 所以选C
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2022-05-29 14:50:26
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221264lpy回复221264lpy
*也就是
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2022-05-29 14:50:54
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999+
请问大神这个要怎么做？
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2021-10-11 21:28:56
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风中菜鸟
为什么做的时候没显示图片……
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2021-08-30 18:41:15
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超级大可爱
为什么算出来的面积不用剪去左边突出的那一部分啊……就选了e……
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2020-11-14 15:17:01
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超级大可爱回复 超级大可爱
哦懂了。那部分是门，不用减
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2020-11-16 13:18:22
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373961gg
求bedroom面积。。。看成求整个图形面积- -
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2020-05-18 12:21:42
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emily666
重点是：30/60=X/15+X，算出X=15，勾股定理，算面积
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2020-04-25 09:55:02
