A rectangle is cut from a unit square, and placed inside the remaining rectangle at an angle so that its 4 vertices touch the 4 sides of that rectangle.
What are the dimensions of the rectangle?
The closest I could get is:
Square side: a = 3
Rectangle sides: a = .8 and b = 3
Therefore, the area of a rectangle is 2.4 units2
If the angles are 30° , 60° and 90° , it should work with any size of a square.