Misty has several pieces of construction paper that each measure 4 inches long and 9 inches wide. She needs to create the smallest possible square without cutting or overlapping. What is the measure of the square's side lengths?

We are given that the dimensions are 4 in x 9 in. To get the smallest possible square, first let us find for the LCM of 4 and 9. 4 = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36 9 = 0, 9, 18, 27, 36 We can actually see that 36 is the least common multiple. Therefore the smallest possible square has a dimension of: 36 inches by 36 inches