1. **Problem:** Calculate the perimeter of the first shape with sides 8cm, 8cm, 13cm, 13cm, and 9cm. 2. **Formula:** The perimeter $P$ of a polygon is the sum of the lengths of all its sides: $$P = \text{side}_1 + \text{side}_2 + \cdots + \text{side}_n$$ 3. **Calculation:** $$P = 8 + 8 + 13 + 13 + 9$$ $$P = 51\text{ cm}$$ 4. **Explanation:** Add all side lengths carefully to find the total distance around the shape. 1. **Problem:** Calculate the perimeter of the second shape with sides 23.5m and 12m (assuming the shape is a rectangle with opposite sides equal). 2. **Formula:** For rectangles: $$P = 2 \times (\text{length} + \text{width})$$ 3. **Calculation:** $$P = 2 \times (23.5 + 12)$$ $$P = 2 \times 35.5$$ $$P = 71\text{ m}$$ 4. **Explanation:** Multiply the sum of length and width by 2 to get the perimeter. 1. **Problem:** Calculate the perimeter of the third shape with sides 14.3cm, 9.2cm, 6cm, 14.3cm, and 6cm. 2. **Formula:** Sum all sides: $$P = 14.3 + 9.2 + 6 + 14.3 + 6$$ 3. **Calculation:** $$P = 49.8\text{ cm}$$ 4. **Explanation:** Add all side lengths to find the total perimeter. 1. **Problem:** Calculate the perimeter of the fourth shape with sides 8cm, 4cm, and 10cm (assuming a triangle). 2. **Formula:** Sum all sides: $$P = 8 + 4 + 10$$ 3. **Calculation:** $$P = 22\text{ cm}$$ 4. **Explanation:** Add all side lengths to find the perimeter. 1. **Problem:** Calculate the perimeter of the fifth shape with sides 15cm and 23cm (assuming rectangle). 2. **Formula:** $$P = 2 \times (15 + 23)$$ 3. **Calculation:** $$P = 2 \times 38 = 76\text{ cm}$$ 4. **Explanation:** Multiply sum of length and width by 2. 1. **Problem:** Calculate the perimeter of the sixth shape with all sides equal to 18cm (regular polygon with 5 sides assumed). 2. **Formula:** $$P = n \times \text{side}$$ 3. **Calculation:** Assuming 5 sides: $$P = 5 \times 18 = 90\text{ cm}$$ 4. **Explanation:** Multiply the number of sides by the length of one side. 1. **Problem:** Calculate the perimeter of the seventh shape with sides 24cm and all sides equal (assuming 8 sides). 2. **Formula:** $$P = n \times \text{side}$$ 3. **Calculation:** Assuming 8 sides: $$P = 8 \times 24 = 192\text{ cm}$$ 4. **Explanation:** Multiply the number of sides by the length of one side. 1. **Problem:** Calculate the perimeter of the eighth shape with sides 17m, 10m, 9m, 11m, 10m, and 26m. 2. **Formula:** Sum all sides: $$P = 17 + 10 + 9 + 11 + 10 + 26$$ 3. **Calculation:** $$P = 83\text{ m}$$ 4. **Explanation:** Add all side lengths to find the total perimeter. **Final answers:** 1) 51 cm 2) 71 m 3) 49.8 cm 4) 22 cm 5) 76 cm 6) 90 cm 7) 192 cm (assuming 8 sides) 8) 83 m