Rectangles - Geometry - General Aptitude (GA) Previous Year Questions

The maximum area (in square units) of a rectangle whose vertices lie on the ellipse \( x^2 + 4y^2 = 1 \) is __________

Two identical sheets A and B, of dimensions 24 cm × 16 cm, can be folded into half using two distinct operations, FO1 or FO2.
In FO1, the axis of folding remains parallel to the initial long edge, and in FO2, the axis of folding remains parallel to the initial short edge.
If sheet A is folded twice using FO1, and sheet B is folded twice using FO2, the ratio of the perimeters of the final shapes of A and B is