Mathematics Question and Solution
Area blue is;
Area square with side 10 cm - Area triangle with height 5 cm and base 10 cm - Area triangle with height 10 cm and base (4.71404520791sin45) cm - Area triangle with height 5 cm and base (4.71404520791sin45) cm - Area triangle with height 5 cm and base (2.2360679775sin(atan(2))) cm
= 10² - ½(10*5) -½(10*4.71404520791sin45) - ½(5*4.71404520791sin45) - ½(5*2.2360679775sin(atan(2)))
= 100 - 25 - ⅓(50) - ⅓(25) - 5
= 70 - ⅓(50) - ⅓(25)
= ⅓(210-75)
= ⅓(135) cm²
= 45 cm²
