Final answer:
The new perimeter of Tate's flower garden is 12 feet after adding 2 feet 9 inches to the width and 3 feet 9 inches to the length.
Step-by-step explanation:
To find the new perimeter of Tate's flower garden, we need to add the additional lengths to both the width and length of the garden. The current perimeter is 25 feet.
Since the width is being increased by 2 feet 9 inches, we convert this to feet by dividing 9 inches by 12 to get 0.75 feet. So the new width is 6 inches + 0.75 feet = 1.25 feet.
Similarly, since the length is being increased by 3 feet 9 inches, we convert this to feet by dividing 9 inches by 12 to get 0.75 feet. So the new length is 4 feet + 0.75 feet = 4.75 feet.
The new perimeter is calculated by adding up all sides of the garden:
Perimeter = (2 * width) + (2 * length) = (2 * 1.25 ft) + (2 * 4.75 ft) = 2.5 ft + 9.5 ft = 12 ft.