Final answer:
To calculate the cost of fencing for Thomas's backyard, you must first calculate the perimeter and then multiply it by the cost per foot of fencing, which is $24. The exact calculation cannot be made without the dimensions of the backyard. However, if the dimensions were provided, the formula used would be perimeter = 2 × (length + width) and total cost = perimeter × price per foot.
Step-by-step explanation:
Calculating the Cost of Fencing
To determine the total cost of fencing for Thomas to fence his entire backyard, we first need to calculate the perimeter of the backyard, which is the total length of the fence needed. To do this, we need to know all the dimensions of the backyard; however, these details are missing from the question. Normally, you would add together the lengths of all four sides to get the perimeter. If the backyard is rectangular and the lengths were provided, you would use the formula perimeter = 2 × (length + width).
Once the perimeter is known, you would then calculate the total cost by multiplying the perimeter (in feet) by the cost per foot of fencing. The formula for the cost would be total cost = perimeter × price per foot, where price per foot is given as $24.
Example Calculations
If the length was 4 yards and the width was 4 yards, then:
• Length in feet = 4 yards × 3 feet/yard = 12 feet
• Width in feet = 4 yards × 3 feet/yard = 12 feet
• Perimeter = 2 × (12 feet + 12 feet) = 48 feet
• Total cost = 48 feet × $24/foot = $1152