Final answer:
Mr. Lobo will need a total of 62 feet of fencing to enclose his rectangular yard that measures 16 feet 6 inches by 14 feet 6 inches.
Step-by-step explanation:
Mr. Lobo is building a fence around his rectangular yard with dimensions 16 feet 6 inches long and 14 feet 6 inches wide. To calculate how much fence he will need, we need to determine the perimeter of the rectangle. The perimeter of a rectangle is calculated by adding together the lengths of all four sides.
First, we convert the measurements to a single unit, inches:
16 feet 6 inches = (16 × 12) + 6 = 198 inches
14 feet 6 inches = (14 × 12) + 6 = 174 inches
Now, we calculate the perimeter:
Perimeter = 2 × (Length + Width)
Perimeter = 2 × (198 inches + 174 inches)
Perimeter = 2 × 372 inches
Perimeter = 744 inches
To convert back to feet, we divide by 12 (since there are 12 inches in a foot):
744 inches ÷ 12 = 62 feet
Therefore, Mr. Lobo will need 62 feet of fencing to enclose his yard.