Ransdell's family wants to build a rectangular fenced backyard area for their dog. They have a 20 meter length of wire fence and four posts. They can also use the 20 meter straight length of the back of their house as a side of the enclosure, but the fence cannot attach directly to the house. The fence must stretch taught between posts, and they have fasteners to attach the fence to the posts. Describe or sketch a design for the dog enclosure that yields the maximum area using the resources they have. Write an equation to find the length and width of the enclosure, letting x be the length along the side of the house. List the dimensions of the enclosure and list the total area. Round to the nearest meter and nearest square meter if necessary.
Ransdell's family wants to build a rectangular fenced backyard area for their dog. They have a 20 meter length of wire fence and four posts. They can also use the 20 meter straight length of the back of their house as a side of the enclosure, but the fence cannot attach directly to the house. The fence must stretch taught between posts, and they have fasteners to attach the fence to the posts. Describe or sketch a design for the dog enclosure that yields the maximum area using the resources they have. Write an equation to find the length and width of the enclosure, letting x be the length along the side of the house. List the dimensions of the enclosure and list the total area. Round to the nearest meter and nearest square meter if necessary.
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