Question

How many rectangles can you make that will fit on a 4 ✕ 4 geoboard such that none of them are congruent?

The answer is NOT: 100, 20, 36, 4, 354, 273, or 73

Answer 1

9

Explanation:

You want the number of non-congruent rectangles that can be drawn on a 4 × 4 geoboard.

Rectangle

A rectangle will have right-angle corners and opposite sides the same length. The attachment shows the 9 rectangles we believe exhaust the possibilities for a grid of 4 dots by 4 dots.

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