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?
A) 13 inches
B) 18 inches
C) 36 inches
D) 48 inches

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