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The Matchstick Window

by unknown author

Solution Step 0/0

In this matchstick arrangement you can spot nine 1×1 squares, four 2×2 squares, and one 3×3 square.

6 matchsticks can be removed so that only three squares would remain. No loose ends of the matchsticks are allowed.

What will be the total area of the three remaining squares?

Explanations

One of the solutions shown in the illustration presents three squares remained, all of different areas – 1, 4, and 9 sq units respectively. Or 14 sq units in total.

Check 11 sq units
Check 12 sq units
Check 14 sq units
Check 17 sq units