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How many feet of chain fence are necessary to enclose a dog pen that is square and has an area of 64 sq ft?

  1. 32

  2. 44

  3. 48

  4. 28

The correct answer is: 32

To find the necessary feet of chain fence to enclose a square dog pen with an area of 64 square feet, we start by determining the side length of the square. Since the area of a square is calculated by multiplying the length of one side by itself (Area = side × side), we can set up the equation: side × side = 64 sq ft. Taking the square root of both sides gives us the length of one side: side = √64 = 8 feet. Now that we have the length of one side, we can find the perimeter of the square, which represents the total length of the fence needed to enclose it. The perimeter of a square is calculated by adding together the lengths of all four sides (Perimeter = 4 × side). So, substituting the length of the side we found: Perimeter = 4 × 8 feet = 32 feet. Therefore, 32 feet of chain fence are necessary to enclose the dog pen.