Got It? Do this problem to find out. c. The coordinates of the vertices of a garden are \( (0,1),(0,4) \), \( (8,4) \), and \( (8,1) \). If each unit represents 12 inches, find the perimeter in inches of the garden.
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To find the perimeter of the garden, we can start by calculating the distance between each pair of vertices. The garden is a rectangle with vertices at \( (0,1) \), \( (0,4) \), \( (8,4) \), and \( (8,1) \). The lengths of the sides of the rectangle can be determined as follows: - The vertical sides (from \( (0,1) \) to \( (0,4) \) and from \( (8,1) \) to \( (8,4) \)) have a length of \( 4 - 1 = 3 \) units. - The horizontal sides (from \( (0,1) \) to \( (8,1) \) and from \( (0,4) \) to \( (8,4) \)) have a length of \( 8 - 0 = 8 \) units. Now we can calculate the perimeter: - Perimeter = \( 2 \times (\text{Length} + \text{Width}) = 2 \times (8 + 3) = 2 \times 11 = 22 \) units. Since each unit represents 12 inches, we multiply the perimeter in units by 12 to get the perimeter in inches: - Perimeter in inches = \( 22 \times 12 = 264 \) inches. The perimeter of the garden is **264 inches**.
