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equal area constraint in sketch?

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In NX sketcher, various constraints provide a very flexible tool to control the size dependence of geometries.
 
I know that a triangle can be used to constrain the length of two lines to a fixed ratio.
 
Since long I'm thinking about whethe it's possible to contrain the area of two geometries to be equal, using ONLY geometric constraints but NOT expressions. E.g. the square and the rectangle in the figure below. If this is possible, the lengths (a, b, c) of three lines can be constrained to: a×a=b×c
 
Hope to have some clues from you. Thanks!
 
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