Given:
Side lengths of triangle = 370 feet, 600 feet, 525 feet
Value of area per acre = 2100
Required: Area and value of the land
Explanation:
a) The formula to find the area of a triangle with sides a, b and c is
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where s is the semi-perimeter.
Here, first find the semi-perimeter.
[tex]\begin{gathered} s=\frac{a+b+c}{2} \\ =\frac{370+600+525}{2} \\ =747.5\text{ ft} \end{gathered}[/tex]
Now, find the area.
[tex]\begin{gathered} A=\sqrt{747.5(747.5-370)(747.5-600)(747.5-525} \\ =96233.237\text{ ft}^2 \end{gathered}[/tex]
b) If 1 acre is 43560 square feet, then
[tex]undefined[/tex]
