Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.4: Powers Of Monimials
Problem 42WE
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Question

The picture below shows a variant of a famous paradoxical puzzle. On the left, we take two rectangles
of area 60, and cut each one into two pieces. On the right, we rearrange the four pieces, and put them
together into a single rectangle of area 119. How could this be?

Thoroughly explain why this is wrong mathematically (don't just say there is a gap, use numerical equations and stuff). If you need help, search "chessboard paradox" or "missing square puzzle".

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