This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To complete the table, we need to find the name and perimeter for each polygon (a), (b), and (c). Step 1: Identify Polygon (a) and calculate its perimeter. Polygon (a) has six sides, so it is a hexagon. The side lengths are 3 m, 2 m, 3 m, 3 m, 2 m, and 3 m. The perimeter is the sum of all its side lengths. Perimeter (a) = 3\, m + 2\, m + 3\, m + 3\, m + 2\, m + 3\, m Perimeter (a) = 16\, m Step 2: Identify Polygon (b) and calculate its perimeter. Polygon (b) has four sides with lengths 4 m, 4 m, 5 m, and 5 m. This is a kite. The perimeter is the sum of all its side lengths. Perimeter (b) = 4\, m + 4\, m + 5\, m + 5\, m Perimeter (b) = 18\, m Step 3: Identify Polygon (c) and calculate its perimeter. Polygon (c) has three sides, so it is a triangle. The side lengths are 7 m, 8 m, and 3 m. The perimeter is the sum of all its side lengths. Perimeter (c) = 7\, m + 8\, m + 3\, m Perimeter (c) = 18\, m Step 4: Complete the table. Here is the completed table: | Name | Perimeter | | :--------- | 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