MathDB
What's the formula if “8 × 8” is replaced with “a × b”?

Source: Austrian Mathematical Olympiad 2002, Part 2, D1, P1

June 25, 2011
geometryrectanglecombinatorics proposedcombinatorics

Problem Statement

Consider all possible rectangles that can be drawn on a 8×88 \times 8 chessboard, covering only whole cells. Calculate the sum of their areas.
What formula is obtained if “8×88 \times 8” is replaced with “a×ba \times b”, where a,ba, b are positive integers?
Back to ProblemsView on AoPS