Solve. Nine square tiles are laid out on a table so that they make a solid pattern. Each tile must touch at least one other tile along an entire edge (see the following figure).
(a) What are the possible perimeters of the figures that can be formed?
(b) Which figure has the least perimeter?
Describe the strategy you used to find your solution(s).
(a) Perimeters range from 12 units to 20 units. Note that, the perimeters must be even.
(b) The figure with the least perimeter is a 3 × 3 square.