Final answer:
The perimeter of a garden that measures 4 feet by 71 inches is 238 inches after converting feet to inches for consistency, which does not match any of the provided options.
Step-by-step explanation:
To calculate the perimeter of a rectangular garden with one side measuring 4 feet and the other 71 inches, we need to ensure both measurements are in the same units. There are 12 inches in a foot, so one side of the garden is 4 feet × 12 inches/foot = 48 inches. Hence, the garden measures 48 inches by 71 inches.
The perimeter of a rectangle is calculated by adding the lengths of all four sides, or twice the sum of its length and width. Therefore, the perimeter P is given by:
P = 2 × (length + width)
Substituting the dimensions we get:
P = 2 × (48 inches + 71 inches) = 2 × 119 inches = 238 inches.
However, none of the options given (178 inches, 175 inches, 284 inches, 160 inches) matches our calculation, which suggests there might be an error in the choices provided or in the interpretation of the question.