Mathematics Question and Solution

By Ogheneovo Daniel Ephivbotor
13th June, 2024

Sir Mike Ambrose is the author of the question.

Let the side length of one of the three congruent squares be 2 units.


Therefore;


Area square is;

= 4 square units.


Area Green is;

Area triangle with height 0.55901699436 unit and base 0.47140452078sin(45-atan(0.5)) units.


= 0.5*0.55901699436*0.47140452078sin(45-atan(0.5))

= 0.04166666666 square units.

= 1/24 square units.


It implies;


Area Green ÷ Area Square (One of the three congruent squares area) in (1/n) form is;


= (1/24) ÷ 4

= 1/96

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