英语数学题,高手帮忙A square with sides of length 1 is divided into two congruent trapezoids and a pentagon,which have equal areas,by joining the center of the square with points on three of the sides,as shown,what is x,the length of the long

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英语数学题,高手帮忙Asquarewithsidesoflength1isdividedintotwocongruenttrapezoidsandapentagon,whichhaveequalare

英语数学题,高手帮忙A square with sides of length 1 is divided into two congruent trapezoids and a pentagon,which have equal areas,by joining the center of the square with points on three of the sides,as shown,what is x,the length of the long
英语数学题,高手帮忙
A square with sides of length 1 is divided into two congruent trapezoids and a pentagon,which have equal areas,by joining the center of the square with points on three of the sides,as shown,what is x,the length of the longer parallel side of each trapezoid?
翻译：边长为1的正方形被分成两个全等的梯形和一个五边形, 这两个梯形和五边形面积相等, 用四个边中的三个边上的点连接正方形的中心,如图所示,什么是x, 即各梯形的较长的平行的边的长度?

英语数学题,高手帮忙A square with sides of length 1 is divided into two congruent trapezoids and a pentagon,which have equal areas,by joining the center of the square with points on three of the sides,as shown,what is x,the length of the long
较长的平行的边的长度＝5/6
原翻译：这两个梯形和五边形面积相等,
应该是：每个梯形和五边形面积都相等
即表达为：正方形被分成3个面积相等的图形,其中：有两个全等的梯形和一个五边形.
每个图形的一个顶点都在正方形的中心.
令 梯形的较长的平行的边的长度为x,
则 该梯形面积等于正方形面积的三分之一：
梯形面积=（上底+下底）*高/2=（x+1/2）*（1/2）/2=1/3
解得：x=5/6
所以梯形的较长的平行的边的长度为5/6

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