Determining the Dimensions and Perimeter of a Fenced Area for Your Pet

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Determining the Dimensions and Perimeter of a Fenced Area for Your PetCongratulations, you have just purchased your first house. Unfortunately, the builder forgot toput a fence around the property and you must now put a fence up so that you can let your pet outin the backyard, without fear of it running away.You want to fence in a rectangular area, butfirst 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 andwidth of the rectangle. For example, L = 2W + 5, or W = 3L–4. Be sure to include theappropriate units (inches, feet, yards, miles, or meters).Answer:To define the shape of the rectangular area, let's establish a relationship between thelength (L) and width (W) of the rectangle. For this example, let's assume that the length of therectangular 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 + 4In this case, we are usingfeetas the unit of measurement. This equation shows that for everywidth 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 specifiedwidth.2.Using the fact that A = LW, together with the relationship defined in step 2, eliminate one ofthe variables to set up a quadratic equation.

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