Question Help: Video Question 3 Find the perimeter of a parallelogram with comer points at \( (4,2),(5,6),(7,6) \), and \( (6,2) \) Perimeter \( = \) Submit Question

To find the perimeter of a parallelogram, you can add the lengths of all four sides. First, calculate the lengths of two adjacent sides. The length of each side can be found using the distance formula. For example, using the points \( (4,2) \) and \( (5,6) \): \[ \text{Distance} = \sqrt{(5-4)^2 + (6-2)^2} = \sqrt{1 + 16} = \sqrt{17} \] Do the same for the next side, using the points \( (5,6) \) and \( (7,6) \): \[ \text{Distance} = \sqrt{(7-5)^2 + (6-6)^2} = \sqrt{4} = 2 \] Since the opposite sides of a parallelogram are equal, the perimeter is given by: \[ \text{Perimeter} = 2 \times (\text{Length of Side 1} + \text{Length of Side 2}) = 2 \times (\sqrt{17} + 2) \] So, calculate this value to get the final perimeter. Happy calculating!