Harris is planting a rectangular garden with an area of 48 square feet . He is also putting a fence around his garden . How should hr arrange his garden so he can buy the least amount of fence?

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To determine how Harris can arrange his garden to use the least amount of fence, we need to find the dimensions of the garden that will minimize the perimeter.

Let's start by listing all the possible dimensions for a rectangle with an area of 48 square feet:

1 x 48
2 x 24
3 x 16
4 x 12
6 x 8

Now, let's calculate the perimeters for each dimension to find which one requires the least amount of fence:

1 x 48 -> Perimeter = 2(1 + 48) = 98 feet
2 x 24 -> Perimeter = 2(2 + 24) = 52 feet
3 x 16 -> Perimeter = 2(3 + 16) = 38 feet
4 x 12 -> Perimeter = 2(4 + 12) = 32 feet
6 x 8 -> Perimeter = 2(6 + 8) = 28 feet

From the calculations, we can see that the garden with dimensions 6 x 8 will require the least amount of fence, with a perimeter of 28 feet.

Therefore, Harris should arrange his garden in a 6 x 8 rectangle to use the least amount of fence.