The figure shows a square patio surrounded by a walkway of width x meters.If the area of the walkway is 132 square meters and the width of the patio is 5 meters greater than the width of the walkway, what is the area of the patio, in square meters?
The figure shows a square patio surrounded by a walkway 和and the width of the patio is 5 meters greater than the width of the walkway 这两句话真是强烈的矛盾，patio被walkway包围了，但是the width of the patio is 5 meters greater than the width of the walkway 哪位高手能解释一下
首先这个area of the walkway is 132（我不知道是大图形减小图形的差还是大图形本身为132），再看题目，文章说patio为正方形（就是那个小图形）根据图形可知大图形也必须为正方形，而132不是一个是的平方，所以断定132为大图形减小图形的差。再看后面一个句子patio is 5 meters greater than the width of the walkway.（注意定义the width of the walkway）题目给出a walkway of width x meters.那么意思就是patio的边长表示为x+5.
大面积：（2x+x+5)^2 小面积：（x+5)^2,两个差为132，求出x=3,patio=(3+5)^2=64.其实平时做有个更简单的方法，题目告诉你了patio是square,那么求得值必须开根号也是正整数，只有B选项是的。
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发表于 2007-7-24 13:18:00
