A fenced yard that is 200 feet wide and 300 feet long needs to be treated along a 6-inch band on the inside and a 6-inch band on the outside of the fence. How many square feet will be treated?

To determine the total area that needs to be treated, you first need to calculate the dimensions of the treatment bands both inside and outside the fence.

The yard measures 200 feet in width and 300 feet in length. For treatment, a 6-inch band will be applied, which converts to 0.5 feet (since there are 12 inches in a foot).

When calculating the inner band, the dimensions are reduced by 1 foot total (0.5 feet on each side), giving:

• Inner width = 200 feet - 1 foot = 199 feet

• Inner length = 300 feet - 1 foot = 299 feet

Now, calculate the area of this inner rectangle:

• Area of inner rectangle = 199 feet * 299 feet = 59,401 square feet.

Next, for the outer band, the dimensions will be extended by 1 foot total (again, 0.5 feet on each side), resulting in:

• Outer width = 200 feet + 1 foot = 201 feet

• Outer length = 300 feet + 1 foot = 301 feet

Now, calculate the area of the outer rectangle:

• Area of outer rectangle = 201 feet *