Answer :
To determine the number of acres in the plot, the area is calculated for two rectangles forming an L-shape and then added together. The total area in square feet is then converted to acres, resulting in approximately 61.92 acres.
To calculate how many acres would be found in the described plot of land, we first need to establish the shape and dimensions of that plot based on the directions given. Starting by going south 1200 feet, then going west 1500 feet, indicates a rectangular shape for the first two sides. However, then we go north only 600 feet, not aligning back to the starting point, creating an L-shape. To find the total area, we would need to divide the shape into two rectangles: one that is 1200 feet by 1500 feet and a smaller rectangle that would be 600 feet by 1500 feet.
The area of the larger rectangle is 1200 feet × 1500 feet, and the area of the smaller rectangle is 600 feet × 1500 feet. Remembering that there are 43,560 square feet in an acre, we can convert the total area from square feet to acres.
Calculation Steps:
- Calculate the area of the larger rectangle: 1200 ft × 1500 ft = 1,800,000 sq ft.
- Calculate the area of the smaller rectangle: 600 ft × 1500 ft = 900,000 sq ft.
- Add both areas to get the total area in square feet: 1,800,000 sq ft + 900,000 sq ft = 2,700,000 sq ft.
- Convert the total area to acres: 2,700,000 sq ft / 43,560 sq ft per acre = approximately 61.92 acres.
Therefore, the plot of land described in the question is approximately 61.92 acres.
