This is in continuation of Origamic.

A sheet of paper has the exact shape of a rectangle (denoted by ABCD) where AB is the longer side and AD is the shorter side. The vertex A is folded onto the vertex C, resulting in the crease EF (E on AB and F on CD).

The paper is thereafter unfolded and, the vertex A is folded onto F, resulting in the crease KJ.

Determine separately the ratio of the longer side (AB) of the rectangle to the shorter side (AD), whenever:

(i) K coincides with D and, J is on AE.

(ii) J coincides with B and, K is on AD.

(iii) J coincides with E and, K is on AD.