what is the largest perimeter possible for a rectangle with a positive whole number dimensions an area of 120 square centimeters
To find the largest perimeter possible for a rectangle with a positive whole number dimensions and an area of 120 square centimeters, we need to consider the factors of the area.
The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
Since the dimensions should be positive whole numbers, we can eliminate some factors. We also need to find the pair of factors that would give the largest perimeter.
Examining the factors, we see that 10 and 12 would be the most suitable pair.
Therefore, the largest possible perimeter for a rectangle with an area of 120 square centimeters is:
Perimeter = 2 × (length + width) = 2 × (10 + 12) = 2 × 22 = 44 centimeters.