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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.

Ask by Frank Barrett. in the United States
Mar 11,2025

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The garden's perimeter is 264 inches.

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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**.

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