Answer:
230 inches, 118 inches, 82 inches, and 50 inches
Explanation:
To find a possible perimeter of Irene's rectangular table, we need to consider the factors of the given area, which is 114 square inches. The factors of 114 are pairs of numbers that multiply together to give 114. By determining the factors, we can find the dimensions of the table and calculate its perimeter.
The factors of 114 are:
1 × 114 = 114
2 × 57 = 114
3 × 38 = 114
6 × 19 = 114
So, the possible dimensions of Irene's table are:
Length = 114 inches, Width = 1 inch
Length = 57 inches, Width = 2 inches
Length = 38 inches, Width = 3 inches
Length = 19 inches, Width = 6 inches
To calculate the perimeter, we use the formula: Perimeter = 2 × (Length + Width).
Let's calculate the perimeter for each option:
Perimeter = 2 × (114 + 1) = 2 × 115 = 230 inches
Perimeter = 2 × (57 + 2) = 2 × 59 = 118 inches
Perimeter = 2 × (38 + 3) = 2 × 41 = 82 inches
Perimeter = 2 × (19 + 6) = 2 × 25 = 50 inches
Therefore, the possible perimeters for Irene's table are 230 inches, 118 inches, 82 inches, and 50 inches.