Question

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?

Answer 1

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

Answer 2

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