Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
29th August, 2023

Sir Mike Ambrose is the author of the question.

Let AC = 1 unit.


Area Yellow is;

Area triangle with height ⅕(4√(5)) units and base ⅕(2√(5)) units - Area triangle with height 1 unit and base ½ unit.

= ½*⅕(4√(5))*⅕(2√(5)) - ½*½*1

= ⅘-¼

= (11/20) square units.


Area Red is;

Area triangle with height (6/5) units and base ⅗ units.

= ½*⅗*(6/5)

= (9/25) square units.


Area Red ÷ Area Yellow exactly is;


(9/25) ÷ (11/20)

= 36/55

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