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Answer :
Final answer:
The dimensions given for the triangular lot don't constitute a valid triangle, hence we can't compute the area and price per acre with this information. Under normal circumstances, the calculation would involve calculating the triangular area first in square feet, then converting that to acres, and finally calculating the price per acre.
Explanation:
Given the measurements of the triangular lot, you can first calculate the area of the land. A triangle's area can be calculated using Heron's formula, which is square root(s*(s-a)*(s-b)*(s-c)) where s is half the perimeter of the triangle (a+b+c)/2, and a, b, and c are the sides of the triangle. In this case, it turns out that the sides given do not satisfy the triangle inequality theorem (the sum of the lengths of any two sides of a triangle must be greater than the length of the third side), so it's likely a mistake in the problem.
Regardless, let's continue the calculation on the assumption that we do have the area of the piece of land and it is given in square feet, as typically, the area of the land is considered for pricing, not the dimensions. Next, to calculate the price per acre, convert the area to acres using the conversion factor of 1 acre = 43,560 square feet and then calculate the price per acre. As of now, however, using the numbers given we cannot proceed with these calculations.
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