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Answer :
Therefore, the value of the parcel of land is approximately $7272.
To find the value of the parcel of land, we need to calculate the area in acres and then multiply it by the value per acre.
a) Area of the parcel of land:
We can use Heron's formula to calculate the area of a triangle given its side lengths. Let's denote the side lengths as a = 330 feet, b = 900 feet, and c = 804 feet. The semiperimeter (s) of the triangle is calculated as (a + b + c) / 2.
s = (330 + 900 + 804) / 2
s = 1034
Now we can calculate the area (A) using Heron's formula:
A = √(s(s - a)(s - b)(s - c))
A = √(1034(1034 - 330)(1034 - 900)(1034 - 804))
A ≈ 131953.70 square feet
b) Value of the parcel of land:
To find the value in acres, we divide the area by the conversion factor of 43,560 square feet per acre:
Value = (131953.70 square feet) / (43560 square feet per acre)
Value ≈ 3.03 acres
Finally, we multiply the value in acres by the value per acre:
Value = 3.03 acres * $2400 per acre
Value ≈ $7272
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