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

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To determine how many square feet need to be treated, we need to calculate the area that will be affected by the treatment along the 6-inch bands, both inside and outside the fenced yard.

The yard is 200 ft wide and 300 ft long, giving an overall area of 60,000 square feet (200 ft x 300 ft).

When treating along a 6-inch band, which is equivalent to 0.5 feet, you are essentially framing the entire yard with an additional treatment area both inside and outside.

To find the total area of the bands, you consider the entire rectangle formed by both bands. The total width of the bands equals 1 foot (0.5 feet on each side). Therefore, the new dimensions of the area requiring treatment become:

  • Width: 200 ft + 1 ft = 201 ft

  • Length: 300 ft + 1 ft = 301 ft

Now, the total area of the new rectangle is calculated as follows:

201 ft x 301 ft = 60,801 square feet.

Next, to find the area of the actual fence yard itself (the original area), you deduct the area of just the yard:

60,801 square feet (

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