Among the dimensions you listed, which should you use to make the dog pen? Explain your reasoning.

Question

m=3 feet by n=2 feetm=5.5 feet by n=3 feetm=7.5 feet by n=5.5 feet

Answer 1

To determine the most appropriate dimensions for a dog pen, you should consider the space that would be most suitable for the dog to move around comfortably and the available area for the pen.

From the provided options:

- m=3 feet by n=2 feet

- m=5.5 feet by n=3 feet

- m=7.5 feet by n=5.5 feet

Considering the area, the larger the product of the two dimensions, the more space will be available within the pen. Looking at the areas of the given dimensions, m * n:

1. For m=3 feet by n=2 feet, the area is 6 square feet.

2. For m=5.5 feet by n=3 feet, the area is 16.5 square feet.

3. For m=7.5 feet by n=5.5 feet, the area is 41.25 square feet.

Among the provided dimensions, the largest area, and therefore the most spacious option for the dog pen, is m=7.5 feet by n=5.5 feet. This larger area provides more room for the dog to move around comfortably.