What are the dimensions of Orion's rectangular backyard garden and how many inches of fencing does he install around it?
Orion's rectangular backyard garden has a length of 8.74 feet and a width of 5.67 feet. Orion installs 345.84 inches of fencing around the garden.
Calculating the Amount of Fencing Needed
To find the amount of fencing needed, we can calculate the perimeter of the rectangular garden. The formula for perimeter is P = 2(length + width). Plugging in the given values, we have P = 2(8.74 + 5.67), which simplifies to P = 2(14.41) giving us a perimeter of 28.82 feet. However, since the question asks for the amount of fencing in inches, we need to convert feet to inches by multiplying the value by 12.
Converting Feet to Inches
Therefore, to convert the 28.82 feet perimeter to inches, we multiply by 12: 28.82 feet * 12 inches/foot = 345.84 inches of fencing.
Therefore, Orion installs a total of 345.84 inches of fencing around his rectangular backyard garden to ensure its perimeter is secure and defined.