Can you find a rectangle whose perimeter equals its area?
I’ll explain one way to solve this puzzle below.
Allergy warning: this product contains algebra. May contain traces of number theory.
Tag: right triangle
Pythagoras Jigsaw Puzzles
“Everyone” knows that 3×3 + 4×4 = 5×5. This little factoid, and other Pythagorean triplets, can be the basis of a nice set of puzzles. Here’s the first. If you draw a 5×5 square on graph paper, how can you cut it up (following the lines on the graph paper) so that the pieces can be rearranged to form a 3×3 square and a 4×4 square?
This is not so hard to do. Here’s one possible solution :