MathDB
Bugs and Tiles

Source: 2019 AMC 10A #10

February 8, 2019
AMCAMC 10AMC 10 A2019 AMC 10A2019 AMCgeometrynumber theory

Problem Statement

A rectangular floor that is 1010 feet wide and 1717 feet long is tiled with 170170 one-foot square tiles. A bug walks from one corner to the opposite corner in a straight line. Including the first and the last tile, how many tiles does the bug visit?
<spanclass=′latex−bold′>(A)</span>17<spanclass=′latex−bold′>(B)</span>25<spanclass=′latex−bold′>(C)</span>26<spanclass=′latex−bold′>(D)</span>27<spanclass=′latex−bold′>(E)</span>28<span class='latex-bold'>(A) </span> 17 \qquad<span class='latex-bold'>(B) </span> 25 \qquad<span class='latex-bold'>(C) </span> 26 \qquad<span class='latex-bold'>(D) </span> 27 \qquad<span class='latex-bold'>(E) </span> 28
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