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3

Part of 2023 Novosibirsk Oral Olympiad in Geometry

Problems(2)

rectangle cut into 10 squares (2023 Novosibirsk Oral Geo Oly 7.3)

Source:

9/4/2023
The rectangle is cut into 1010 squares as shown in the figure on the right. Find its sides if the side of the smallest square is 33.https://cdn.artofproblemsolving.com/attachments/e/5/1fe3a0e41b2d3182338a557d3d44ff5ef9385d.png
geometryrectangleSquares
line segments from 5 points (2023 Novosibirsk Oral Geo Oly 8.3)

Source:

9/4/2023
Points A,B,C,DA, B, C, D and EE are located on the plane. It is known that CA=12CA = 12, AB=8AB = 8, BC=4BC = 4, CD=5CD = 5, DB=3DB = 3, BE=6BE = 6 and ED=3ED = 3. Find the length of AEAE.
geometry