Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Length AD is;
AD = 3√(15) cm.
Therefore;
Area Orange exactly in cm² is;
Area triangle with height √(15) cm and base 3√(15) cm + Area triangle with height 5√(6) cm and base ¼√(615)sin(180-atan(3)-atan(5/4)) cm.
= ½*3√(15)*√(15) + ½*5√(6)*¼√(615)sin(180-atan(3)-atan(5/4)))
= ½(45) + (15√(410)sin(180-atan(3)-atan(5/4)))/8
= ½(45) + (15√(410)sin(57.094757077))/8
= 22.5 + 31.875
= 54.375 cm²
= 435/8 cm²
