In the figure, the area of the

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/29 16:16:09

In the figure, the area of the shaded region is 75 cm square. Find the value of y.
图形请见上方.

阴影部分分成2个三角形的面积
公共部分设为S共
那么S共+S阴=1/2x10xy+1/2x10x12=60+5y
S共=60+5y-75=5y-15
=5h h=y-3
y随便取值 ,只要h取y-3 就能满足阴影部分为75
例如y取8 h取5成立 h是凹点到10的那个直线的距离
再问： S共+S阴分别代表什么？看不太懂。
再答： S共就是那2个三角形重叠部分，你把阴影部分看成2个重叠的三角形？能看出来吗 S阴就是阴影部分面积，由于2个三角形加起来比阴影部分面积还多出一个重叠部分的面积
再问：明白那两个是什么了。谢谢。

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