The figure shows a right-angled triangle, KLM, drawn on a grid.
- KLN is a right-angled triangle with the same area as triangle KLM. Identify point N on the grid.
- KMP is an equilateral triangle. Identify point P on the grid such that it does not overlap with triangle KLM.
- Find the ratio of the area of triangle KLN to the area of triangle KMP.