If a swath 5 feet wide is to be treated around a rectangular building with a perimeter of 90 feet by 60 feet, what is the approximate area that will be treated?

To determine the area that will be treated around the rectangular building, it is essential to first calculate the dimensions of the area that includes the building and the surrounding 5-foot swath.

The rectangular building has a perimeter of 90 feet by 60 feet. This means the length is 90 feet and the width is 60 feet.

When a treatment swath of 5 feet is added around the building, the length and width increase by twice the swath's width (5 feet on both sides). Thus, the new dimensions become:

• Length: 90 feet + (5 feet x 2) = 90 + 10 = 100 feet
• Width: 60 feet + (5 feet x 2) = 60 + 10 = 70 feet

Next, the area of the combined structure (building plus treated swath) can be calculated using the formula for the area of a rectangle, which is length multiplied by width: Area = Length x Width = 100 feet x 70 feet = 7000 square feet.

Now, to find the area of the building alone: Area of the building = 90 feet x 60 feet = 5400 square feet.

To determine the area