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AMO 2027 Grades 8-9 SET 8 - Self-study Question 13

AMO · AMO 2027 Grades 8-9 SET 8 - Self-study

Question 13

Rectangle $ABCD$ is cut into four smaller rectangles, as shown in the figure. The four smaller rectangles have the properties:

a) The perimeters of three of them are 11, 16 and 19.

b) The perimeter of the fourth is neither the biggest nor the smallest of the four.

What is the perimeter of the original rectangle $ABCD$?

Question illustration