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SASMO 2021 Grade 4 Question 21

SASMO · SASMO 2021 Grade 4

Question 21

A special square has an area that is a multiple of its perimeter. For example, a square of side length 8 is special because its perimeter 32 is a factor of its area 64. How many special squares have a whole-number side length less than 2021?

Count distinct positive side lengths. Compare numerical measurements in the same fixed unit; zero-length squares are excluded.

Input: enter a whole number without units; leading zeroes from the paper answer grid may be omitted.