Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let BC be 1 unit.
Therefore;
AB is 2 units.
Area small square is;
(⅓√(13))²
= (13/9) square units.
Area blue is;
Area trapezium with two parallel side √(13) units and ⅓√(13) units and height ⅓√(13) units - area triangle with height ⅓√(13) units and base √(13)/6 units - area triangle with side √(13) units and 3.25764407172 units, and angle atan(1/3)°
= ½(√(13)+⅓√(13))⅓√(13) - ½(⅓√(13)*√(13)/6) - ½(√(13)*3.25764407172)sin(atan(⅓)
= (26/9) - (13/36) - 1.85714285717
= (91/36) - 1.85714285717
= 0.67063492061 square units.
It implies;
Area blue ÷ Area small square in its simplest decimal form is;
0.67063492061÷(13/9)
= 0.46428571427
