Area orange exactly in square units is;
Area triangle with height ⅓(10√(2)) unit and base 5sin45 unit - Area triangle with height (8/3) unit and base 2√(2)sin45 unit - Area triangle with height ⅔√(10) unit and ⅓(7sin(atan(2)-45)) unit.
= (½*⅓(10√(2))*½(5√(2))) - (½*(8/3)*(2√(2)/√(2)) - (½*⅔√(10)*⅓(7sin(atan(2)-45)))
= ⅓(25) - ⅓(8) - (7/9)
= ⅓(17) - 7/9
= (51-7)/9
= 44/9 square units.
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