geometry

 

   The diagonal of a rectangle and the diagonal of a square have the same length.     

   The diagonal of the rectangle forms a 45 degree angle with one of its sides.     

   R is the ratio of the area of the rectangle to that of the square. Find R^2.     

 

   A rectangle with a 45^o diagonal cannot be anything except a square.     

   So, both figures are squares, they are the same size, so the ratio is 1.     

   _.