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在一次教研活动中,老师们对下面一道学生练习题的结论产生了不同的意见:问题如图1,在长为50米,宽为32米的矩形花园中,修建两条交叉的小路(相交所成的角不是直角),且小路的水平方向或竖直方向的长均为2米,则花园剩余部分的面积为多少?有人认为:这个问题可以运用平移方法,把图1转化为图2模样,则剩余部分面积为:(32-2)×(50-2)=30×48=1440m~2.
In a teaching and research activity, the teachers gave different opinions on the following conclusion of a student practice question: The problem is shown in Figure 1. In a rectangular garden of 50 meters in length and 32 meters in width, two intersecting paths The angle is not a right angle), and the path of the horizontal or vertical length of 2 meters, then the remaining area of the garden area? Some people think: This problem can be translated using the method of Figure 1 into Figure 2 The remaining part of the area is: (32-2) × (50-2) = 30 × 48 = 1440m ~ 2.