Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Area largest square is;
(3√(5))²
= 45 cm²
Area purple is;
Area triangle with height equal base equal 3√(5) cm - area triangle with side 2.23606797751 cm and 2.37170824513 cm, and angle 45° - area triangle with side 1.49071198498 cm and 1.72487872371 cm, and angle 45°
= ½(3√(5))² - ½(2.23606797751*2.37170824513)sin45 - ½(1.49071198498*1.72487872371)sin45
= (45/2) - (15/8) - (10/11)
= (1735/88) cm²
Therefore;
Area purple ÷ Area largest square in its simplest form is;
(1735/88) ÷ 45
= 347/792
