Orlando is making a design for a logo. He begins with a square measuring 24 inches on a side. The second square has a side length of 19.2 inches, and the third square has a side length of 15.36 inches. Which square will be the first square with a side length of less than 12 inches?

A. fourth square
B. fifth square
C. sixth square
D. seventh square

1 answer

To find out which square will have a side length of less than 12 inches, we can continue to decrease the side length by multiplying by 0.8 (which is 80% of the previous side length).

Side length of fourth square = 15.36 inches * 0.8 = 12.288 inches
Side length of fifth square = 12.288 inches * 0.8 = 9.8304 inches

Therefore, the fifth square will be the first square with a side length of less than 12 inches.

So, the answer is:
B. fifth square