Determining the Dimensions and Perimeter of a Fenced Area for Your Pet
- Mathematics
- 7 pages
- Shared May 2025
A practical assignment focused on determining the dimensions and perimeter of a fenced area suitable for a pet.
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Determining the Dimensions and Perimeter of a Fenced Area for Your Pet Congratulations, you have just purchased your first house. Unfortunately, the builder forgot to put a fence around the property and you must now put a fence up so that you can let your pet out in the backyard, without fear of it running away. You want to fence in a rectangular area, but first you must determine the dimensions of the area. Different pets need to have different areas. For example, a horse needs more space than a dog. Determine an area that is appropriate for your pet. Has to be a number between 30 and 90 square yards! This assignment must have a similarity score less than 40% 1. Define the shape of the rectangular area by establishing a relationship between the length and width of the rectangle. For example, L = 2W + 5, or W = 3L – 4. Be sure to include the appropriate units (inches, feet, yards, miles, or meters). Answer: To define the shape of the rectangular area, let's establish a relationship between the length (L) and width (W) of the rectangle. For this example, let's assume that the length of the rectangular area is 4 feet longer than twice the width of the rectangle. Thus, the relationship between the length and width can be expressed as: L=2W+4L = 2W + 4 In this case, we are using feet as the unit of measurement. This equation shows that for every width of the rectangle, the length will be twice that width, plus an additional 4 feet.
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This relationship will help in determining the dimensions of the fenced area based on a specified width. 2. Using the fact that A = LW, together with the relationship defined in step 2, eliminate one of the variables to set up a quadratic equation.
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