Square Dissections

Start: Cut a 1 × 5 rectangle into 5 parts and re…
JuniorGeometry
Domain · Geometry

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Pick a puzzle below — each one has an interactive simulator you can play right away.

Start: Cut a 1 × 5 rectangle into 5 parts and re…
Interactive puzzles
4 puzzles in this collection
Cut a 1 × 5 rectangle into 5 parts and rearrange them into a square.
Cut a 5‑cell cross into parts and rearrange them into a square.
Cut a 7 × 7 square: a) into a 4 × 4 square, a 3 × 3 square, and four congruent r
Prove that any two squares can be cut into parts and rearranged to form one larg

These puzzles explore how shapes with equal area can be cut and rearranged. They build geometric intuition for area equivalence and set the stage for later links to the Pythagoras theme.

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These puzzles explore how shapes with equal area can be cut and rearranged. They build geometric intuition for area equivalence and set the stage for later links to the Pythagoras theme.