Using the area of a rectangle, it is found that the area of Ralph’s dog pen is 2 times larger.
The area of a rectangle of length l and width w is given by:
[tex]A = lw[/tex]
The pen for Ruth’s dog is 7 feet long and 612 feet wide, hence the area in square inches is given by:
[tex]A_{Ru} = 7 \times 612 = 4284[/tex]
For Ralph's, we have that it is 14 feet long and 612 feet wide, hence:
[tex]A_{Ra} = 14 \times 612 = 8568[/tex]
The ratio is:
[tex]r = \frac{A_{Ra}}{A_{Ru}} = \frac{8568}{4284} = 2[/tex]
The area of Ralph’s dog pen is 2 times larger.
More can be learned about the area of a rectangle at https://brainly.com/question/10489198