1. **Problem statement:** Kate has five sandwiches to share equally among herself and three friends, making 4 people in total. We need to find how much sandwich each person gets. 2. **Formula used:** To divide a quantity equally among a number of people, use the formula: $$\text{Amount per person} = \frac{\text{Total amount}}{\text{Number of people}}$$ 3. **Apply the formula:** $$\text{Amount per person} = \frac{5}{4}$$ 4. **Simplify the fraction:** $$\frac{5}{4} = 1 \frac{1}{4} = 1.25$$ 5. **Interpretation:** Each person gets 1 and \frac{1}{4} sandwiches, or 1.25 sandwiches. 1. **Problem statement:** Find the area and perimeter of the parallelogram with base 13 cm and height 14 cm. 2. **Formulas:** - Area of parallelogram: $$\text{Area} = \text{base} \times \text{height}$$ - Perimeter of parallelogram: $$\text{Perimeter} = 2(\text{base} + \text{side})$$ 3. **Given:** base = 13 cm, height = 14 cm. Side length is not given, so we cannot find perimeter exactly without side length. 4. **Calculate area:** $$\text{Area} = 13 \times 14 = 182 \text{ cm}^2$$ 1. **Problem statement:** Find the area and perimeter of the trapezoid with parallel sides 7 m and 7.5 m, height 4 m, and a non-parallel side 6 m. 2. **Formulas:** - Area of trapezoid: $$\text{Area} = \frac{1}{2} (\text{sum of parallel sides}) \times \text{height}$$ - Perimeter of trapezoid: sum of all sides 3. **Calculate area:** $$\text{Area} = \frac{1}{2} (7 + 7.5) \times 4 = \frac{1}{2} (14.5) \times 4 = 7.25 \times 4 = 29 \text{ m}^2$$ 4. **Calculate perimeter:** We have two parallel sides: 7 m and 7.5 m, one non-parallel side 6 m, but the other non-parallel side length is not given, so perimeter cannot be exactly calculated without it. **Final answers:** - Each person gets $\frac{5}{4}$ or 1.25 sandwiches. - Parallelogram area: 182 cm$^2$, perimeter cannot be determined without side length. - Trapezoid area: 29 m$^2$, perimeter cannot be determined without the missing side length.