same size). A the spider starts at one corner of the bathroom and walks to the corner diagonally opposite. For example, the figure below shows a 6 × 8 bathroom, in which the spider touches 12 tiles on its path. (A spider doesn’t touch a tile if it just walks over the grout at the corner of a tile.) For an m × n bathroom, how many tiles does the spider touch on its walk?

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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The rectangular floor of a bathroom is covered with square tiles (all of the same size). A
the spider starts at one corner of the bathroom and walks to the corner diagonally opposite.
For example, the figure below shows a 6 × 8 bathroom, in which the spider touches 12
tiles on its path. (A spider doesn’t touch a tile if it just walks over the grout at the corner
of a tile.) For an m × n bathroom, how many tiles does the spider touch on its walk?

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