The chess board in the shapeof a square with the sidelength 8 units is cut into thefour pieces like shown below.Given pieces can berearranged' into the rectanglewith side lengths 13 units and5 units. Looking at the areas,your friend claims that thearea of the square (64 squareunits) is equal to the arêa ofthe rectangle (65 squareunits). Explain to your friendthe mistake they have made.8.MQ3H.33a.ВK8S.

Given: The chess board in the shape of a square with the side length 8 unit.

Answered: e chess board in the sha of a square…

e chess board in the sha of a square with the side ngth 8 units is cut into t r pieces like shown bele Civon niocos 2an ho

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

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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,
your friend claims that the
area of the square (64 square
units) is equal to the arêa of
the rectangle (65 square
units). Explain to your friend
the mistake they have made.
8.
M
Q
3
H.
3
3
a.
В
K
8
S.

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