2009/10 AHSMC Part 1 Problem 4

Problem 4 of 16

A large rectangular gymnasium floor is covered with unit square tiles, most of them blank, in the pattern shown in the diagram below. Of the following fractions, the one nearest to the fraction of tiles which are not blank is

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Solution

Almost the entire gymnasium floor may be divided into $2 \times 3$ non overlapping rectangles each with exactly one non-blank square at the lower left corner. The answer is (C).

University of Alberta

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