The chess board in the shape of a square with the side length 8 units is cut into the four pieces like shown below. Given pieces can be rearranged into the rectangle with side lengths 13 units and 5 units. Looking at the areas, it shows that the area of the square (64 square units) is equal to the area of the rectangle (65 square units). Using angles a and ß explain the paradox 64 = 65. 3 8 M 3. 5 3 R. 3 A K 8. P.

The chess board in the shape of a square with the side length 8 units is cut into the four pieces like shown below. Given pieces can be rearranged into the rectangle with side lengths 13 units and 5 units. Looking at the areas, it shows that the area of the square (64 square units) is equal to the area of the rectangle (65 square units). Using angles a and ß explain the paradox 64 = 65. 3 8 M 3. 5 3 R. 3 A K 8. P.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.1: Area And Initial Postulates

Problem 3E: Consider the information in Exercise 2, but suppose you know that the area of the region defined by...

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