Let S = {(x, y) ∈ ℝ × ℝ : x ≥ 0, y ≥ 0, y2 ≤ 4x, y2 ≤ 12 - 2x and 3y + √8x ≤ 5√8}. If the area of the region S is α√2 then α is equal to

1
\(\frac{17}{2}\)
2
\(\frac{17}{3}\)
3
\(\frac{17}{4}\)
4
\(\frac{17}{5}\)

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