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Answer :
The area of the parcel of land is 2.46 acres and the value of the parcel of land is $5,145.
To calculate the area of the triangular parcel of land with sides of length 680 feet, 320 feet, and 802 feet, you can use Heron's formula.
First, find the semi-perimeter (s) by adding the lengths of the sides and dividing by 2:
s = (680 + 320 + 802) / 2
s = 1801 / 2
s = 901
Now, apply Heron's formula:
Area = √(s(s - a)(s - b)(s - c))
Area = √(901(901 - 680)(901 - 320)(901 - 802))
Area ≈ 107,019.81 square feet
Now, convert the area in square feet to acres:
1 acre = 43,560 square feet
107,019.81 square feet * (1 acre / 43,560 square feet) ≈ 2.46 acres
Next, calculate the value of the parcel of land at $2100 per acre:
Value = 2.46 acres * $2100 per acre
Value = $5,145
So, the area of the parcel of land is approximately 107,019.81 square feet (or 2.46 acres), and the value of the parcel of land is $5,145.
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