Let the side of the green square be x.
Therefore;
x/(tan(atan¾)) + x + x/(tan(atan(4/3))) = 5
⅓(4x) + x + ¼(3x) = 5
16x + 12x + 9x = 60
37x = 60
x = (60/37) units.
It implies;
Area square green is;
x²
= (60/37)²
= 3600/1369 square units.
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