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Find the area of a star colored in red inscribed in a unit square according to the picture below.  E is the midpoint of AB, and other edges follow the same pattern.

 

 Jan 19, 2021
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I'm guessing that you wnat to know the  ratio of the  red area  to  the  area of the square  ???

 

If so 

 

One white area  has  a base  =  the side of the square  =  S

And the  height of one of these right triangles =  S/4

So....its area =   (1/2) S ( S/4) =  S^2 / 8

And   the toal white area  =  (4) S^2/8  =   S^2/2

 

So....red area  to square area  =   1/2

 

 

cool cool cool

 Jan 19, 2021

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