So this is a PC-98 implementation of the old Hasbro board game
Perfection You have to match all the puzzle pieces before time runs out, or they all pop out (nicely animated in this version too.) Control is via the mouse, with left and right buttons rotating the piece their respective directions. Dropping the piece is a bit hazardous, though, as the click detection is very sensitive, you need to press both buttons and be pixel-perfect over the slot.
Interestingly (strangely?) enough the image contains a Word document detailing the various data files used for the polygons and other elements of the game.