Suppose you have 12 matches of length 1 unit. These 12 matches can be arranged to form a square with perimeter 12 units and area 9 square units.
We can also arrange the 12 matches to form a polygon* whose perimeter is 12 units and whose area is 5 square units.
Your challenge: Arrange the 12 matches to form a polygon whose perimeter is 12 units and whose area is exactly 4 square units. Don't be afraid to use actual matchsticks - they're portable and fun to play with!
*A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. Note that the pictures above are not closed in order to make the 12 matches more clear. In a real polygon, the ends of the matches would be touching.
