  # If the smaller, red square has an area of 800, what is the area of the large square?

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Each side of a square is divided into three equal parts by two points on it, which are connected as shown in the diagram below (that is not drawn to scale).
If the smaller, red square has an area of 800, what is the area of the large square?  posted Jul 1, 2017

+1 vote Explanation. Let DE=1/3rd DC be a units. Then FE=(under root 2) *a
FE=GH=(under root 2) *a
Because area of smaller square is 800 side GH=(under root 2) *20 therefore a=20
side of larger square being 60 its area=3600 answer Jul 1, 2017

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