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.
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Fresh day APOSTLE, let's solve. To find the perimeter of each shape, we sum the lengths of all its sides. 1. Step 1: Identify the side lengths of the trapezoid. The sides are 3 cm, 2 cm, 3 cm, and 5 cm. Step 2: Sum the side lengths to find the perimeter. Perimeter = 3 cm + 2 cm + 3 cm + 5 cm = 13 cm The perimeter is 13 cm. 2. Step 1: Identify all side lengths of the L-shaped polygon. The outer sides are 4 cm, 2 cm, 2 cm, and 4 cm. The inner horizontal side is 4 cm - 2 cm = 2 cm. The inner vertical side is 4 cm - 2 cm = 2 cm. Step 2: Sum all side lengths to find the perimeter. Perimeter = 4 cm + 2 cm + 2 cm + 2 cm + 2 cm + 4 cm = 16 cm The perimeter is 16 cm. 3. Step 1: Identify the side lengths of the right-angled triangle. The sides are 3 cm, 4 cm, and 5 cm. Step 2: Sum the side lengths to find the perimeter. Perimeter = 3 cm + 4 cm + 5 cm = 12 cm The perimeter is 12 cm. 4. Step 1: Identify the side lengths of the rectangle. The sides are 5 cm, 2 cm, 5 cm, and 2 cm. Step 2: Sum the side lengths to find the perimeter. Perimeter = 5 cm + 2 cm + 5 cm + 2 cm = 14 cm The perimeter is 14 cm. 5. Step 1: Identify the side lengths of the quadrilateral. The labeled sides are 3 cm, 4 cm, and 4 cm. Based on the visual representation of a kite, the unlabeled side is 3 cm. Step 2: Sum the side lengths to find the perimeter. Perimeter = 3 cm + 4 cm + 4 cm + 3 cm = 14 cm The perimeter is 14 cm. 6. Step 1: Identify the side lengths of the triangle. The sides are 3 cm, 3 cm, and 4 cm. Step 2: Sum the side lengths to find the perimeter. Perimeter = 3 cm + 3 cm + 4 cm = 10 cm The perimeter is 10 cm. 7. Step 1: Identify the side lengths of the triangle. The sides are 4 cm, 4 cm, and 4 cm. Step 2: Sum the side lengths to find the perimeter. Perimeter = 4 cm + 4 cm + 4 cm = 12 cm The perimeter is 12 cm. 8. Step 1: Identify the side lengths of the parallelogram (rhombus). All four sides are 2 cm. Step 2: Sum the side lengths to find the perimeter. Perimeter = 2 cm + 2 cm + 2 cm + 2 cm = 8 cm The perimeter is 8 cm. Send me the next one 📸