The figure below shows an equilateral triangle ABC and a inscribed square PQRS. What is the ratio of the area of the triangle to the area of the square?

TJ test prep practice problems for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.
The figure below shows an equilateral triangle ABC and a inscribed square PQRS. What is the ratio of the area of the triangle to the area of the square?