Answer :
To find the number of acres in the provided land description, calculate the area of the trapezoid and convert square feet to acres. The area is approximately 30.98 acres.
To determine how many acres are found in the provided description, we need to calculate the area of the tract of land specified. Given that we go south 1200 feet, then west 1500 feet, then north 600 feet and back to the starting point, we're describing a trapezoid, not a rectangle or square, because the north and south sides are not of equal length.
First, we need to determine the height of the trapezoid, which is the distance between the parallel sides. The southward and northward movements don't align, leaving us with a height of 600 feet (1200 feet southward minus 600 feet northward).
Then, we need the average length of the two parallel sides to calculate the area of the trapezoid. The bottom side (first going southward) is 1200 feet, and the top side (after going northward) is 600 feet. The average length of the two sides is (1200 + 600) / 2 = 900 feet.
The area of the trapezoid in square feet is the average length of the parallel sides multiplied by the height, which would be 900 feet * 1500 feet = 1,350,000 square feet.
To convert square feet to acres, we divide by the number of square feet in one acre, which is 43,560 square feet per acre. Therefore, the area in acres is 1,350,000 / 43,560 ≈ 30.98 acres.
