JEE Math Practice Question

Let S($$\alpha $$) = {(x, y) : y2 $$ \le $$ x, 0 $$ \le $$ x $$ \le $$ $$\alpha $$} and A($$\alpha $$) is area of the region S($$\alpha $$). If for a $$\lambda $$, 0 < $$\lambda $$ < 4, A($$\lambda $$) : A(4) = 2 : 5, then $$\lambda $$ equals

1. A.$$2{\left( {{4 \over {25}}} \right)^{{1 \over 3}}}$$
2. B.$$2{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}$$
3. C.$$4{\left( {{4 \over {25}}} \right)^{{1 \over 3}}}$$
4. D.$$4{\left( {{2 \over {5}}} \right)^{{1 \over 3}}}$$