The Y/ X Ratio?

Geometry Level 3

If the formula for this figure's perimeter \(= ( 1 + 8^{0.5}) Y + ( 2 - 8^{0.5} ) X = 27.64\)

and for this figure's area \( = \dfrac {( 1 + 8^{0.5} ) Y X} 2 + \dfrac {X^2} { 128^{0.5} - 12} = 12.78\).

What does \(\dfrac Y X\) equal?

Give your answer to 3 decimal places.

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