In the diagram, A B C is a quarter-circle centred at B. Each of square P Q R S, square S R T B and square R U V T has side length 10. Points P and S are on A B, points T and V are on B C, and points Q and U are on the quartercircle. Line segment A C is drawn. Three triangular regions are shaded, as shown. What is the integer closest to the total area of the shaded regions?
