The correct answer is D) All figures have the same perimeter.
Perimeter calculation: Each figure consists of 6 unit squares arranged in different configurations. However, regardless of the arrangement, the total length of the sides remains the same.
Each side of a unit square contributes 1 unit to the perimeter.
Each figure has 12 sides (6 squares x 2 sides per square).
Therefore, the perimeter of each figure is 12 units (12 sides x 1 unit per side).
Figure A: As mentioned before, its perimeter is 12 units.
Figure B: Although arranged in a zigzag pattern, it still has 12 sides, each contributing 1 unit to the perimeter, resulting in 12 units total.
Figures C and D: Despite having internal gaps, they also have 12 sides in total. The gaps don't affect the perimeter as they are formed by internal edges, not boundary edges. Therefore, both figures also have a perimeter of 12 units.
Therefore, considering the total length of the sides for each figure, they all share the same perimeter of 12 units.