Hector wants to tile his rectangular shed floor with rubber tiles. He found a company that will cut custom square tiles up to 60 inches by 60 inches. The length of his shed floor is 240 inches, and the width is 144 inches. a. What is the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps and the entire floor is covered? Use paper to show your work. Enter your answer in the box.

The side length of the largest square tile Hector can use to tile his shed floor is
inches.

b. How many floor tiles will Hector need to cover his shed floor?