Mathematics Question and Solution
Side length of the square is;
Let it be x.
x = √((16*34)-144)
x = √(400)
x = 20 cm.
Therefore;
Area Orange exactly in decimal cm² is;
Half area square with side 20 cm - Area triangle with height 7.88405797101 cm and base ⅓(32sin(2atan(3/5))) cm - Area triangle with height 8.74642784227 cm and base (12sin(atan(5/3))) cm
= ½(20²) - ½(7.88405797101*⅓(32sin(2atan(3/5)))) - ½(8.74642784227*(12sin(atan(5/3))))
= 200 - 37.1014492753 - 45
= 155 - 37.1014492753
= 117.898550725 cm²
= 117.8 cm² to 1 decimal place.
