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The wall, 4 ft x7 ft, is 28 ft2. Each tile, .5 ft x .5 ft, is .25 ft2. 28ft2 divided by .25 ft2 = 112. However, that doesn't account for the grouted spaces between the tiles which, depending upon the width of the spaces, would somewhat reduce the number of tiles required.
12
5 x 8 = 40, so 40 tiles are in this rectangle.
49 tiles
100 tiles or 96 which is the correct amount