The kitchen measures 3 yards by 5 yards (For easy reference in the answer, length is assumed 3 yards and width 5 yards)
3 yards = 3 x 3 = 9 feet 5 yards = 5 x 3 = 15 feet
There are 2 ways to align the tiles. -------------------------------------------------------------------------------- Method 1: align the 1/2 ft as the length and 1ft as the width --------------------------------------------------------------------------------
Number of tiles on the length = 9 ÷ 1/2 = 18 tiles Number of tiles on the width = 15 ÷ 1 = 15 tiles Total titles = 18 x 15 = 270 tiles
-------------------------------------------------------------------------------- Method 2: align the 1ft as the length and 1/2 ft as the width --------------------------------------------------------------------------------
Number of tiles on the length =9 ÷ 1= 9 tiles Number of tiles on the width = 15 ÷ 1/2 = 30 tiles Total titles = 30 x 9= 30 tiles
If Fernando aligns the tiles so the short tile dimension is in the direction of the short kitchen dimension, he will need .. (3 yd)/(1/6 yd) = 18 tiles by .. (5 yd)/(1/3 yd) = 15 tiles for a total of .. (18 * 15) = 270 tiles