如图,在长为32m,宽为20m的长方形地面上修筑同样宽的道路(图中阴

如图,在长为32m,宽为20m的长方形地面上修筑同样宽的道路(图中阴影部分),余下的部分种上草坪,要使草坪的面积为540m2,求道路的宽.

 


答案

解法(1):

解:利用平移,原图可转化为右图,设道路宽为x米,

根据题意得:(20﹣x)(32﹣x)=540

整理得:x2﹣52x+100=0

解得:x1=50(舍去),x2=2

答:道路宽为2米.

解法(2):

解:利用平移,原图可转化为右图,设道路宽为x米,

根据题意得:20×32﹣(20+32)x+x2=540

整理得:x2﹣52x+100=0

解得:x1=2,x2=50(舍去)

答:道路宽应是2米.

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