IKMC 2027 - Grades 5-6 - Self-study SET 2 - Thematic Batch 3 Question 19

An wants to divide a large rectangle into small rectangles using 10 straight lines. A small rectangle means one that contains no other rectangle inside it. What is the greatest number of small rectangles that the 10 lines can create?



Editorial clarification: Count the elementary regions of a rectangular grid made by ten full cuts parallel to the sides.