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IMAS 2022 — Middle Primary Grades 3–4 — Round 1 Question 22

IMAS · IMAS 2022 — Middle Primary Grades 3–4 — Round 1

Question 22

A 9 × 7 grid of squares with one shaded square is shown in the diagram below.
How many different rectangles bounded by the gridlines can we construct so that
all rectangles contain the shaded square? (Note: a square is also a rectangle.)

Question illustration