PASCAL 2015 Problem 17

In the diagram, six identical circles just touch the edges of rectangle PQRS and each circle just touches the adjacent circles. The centers T,V,W,Y of four of these circles form a smaller rectangle TVWY, as shown. The centers U and X lie on this rectangle. If the perimeter of TVWY is 60, what is the area of PQRS?

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Answer Choices
A. 600
B. 900
C. 400
D. 1200
E. 1000