MathDB
Floor Tiling

Source: 2017 AMC 8 #11

November 22, 2017
AMC 8

Problem Statement

A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is 37, how many tiles cover the floor? <spanclass=latexbold>(A)</span>148<spanclass=latexbold>(B)</span>324<spanclass=latexbold>(C)</span>361<spanclass=latexbold>(D)</span>1296<spanclass=latexbold>(E)</span>1369<span class='latex-bold'>(A) </span>148\qquad<span class='latex-bold'>(B) </span>324\qquad<span class='latex-bold'>(C) </span>361\qquad<span class='latex-bold'>(D) </span>1296\qquad<span class='latex-bold'>(E) </span>1369