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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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预约名师一对一题目解析课程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 （2条评论）
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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
