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IMAS 2018 — Upper Primary Grades 5–6 — Round 1 Question 24

IMAS · IMAS 2018 — Upper Primary Grades 5–6 — Round 1

Question 24

Two squares having the same center are shown in the figure below. The larger square has a side length of 20 cm. The smaller square rotates around its center. During the rotation, it is known that the minimum distance between the vertices of the smaller square and the sides of the larger square is 4 cm. What is the area, in cm² , of the smaller square?

Question illustration