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A square and its lines...

Math brain teasers require computations to solve.

 

Puzzle ID:#193
Fun:** (2.01)
Difficulty:*** (2.73)
Category:Math
Submitted By:trojan5x***

 

 

 



Imagine a square that has each side consisting, half of length `a` and half length `b`. Inside the square there is a diamond, with each corner touching the midpoint of each side of the square. Each side of the diamond has length `c`. If one were to set the area of the square equal to the area of all the shapes inside the square, what would remain?

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