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Area of Yellow Square = 16

Animated

Easy Way

Easy Way Animated

Blue Area = ? ( Many Solutions )

Square Area = 80

Square Area = 3600 / 49

Easier Approach by Means of Trigonometry

Shaded Fraction = 1 / 16

Blue Area = 15 / 4 = 3.75

Yellow Area = 39 / 2 = 19.5

BO = 3.60555127546

Shaded Fraction = 1 / 4

Return of the Square Faced Smiley