Question

A triangle parcel of land has side length 370 ft, 600ft and 525ft

Answer 1

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

`A=√(s(s-a)(s-b)(s-c))`

where s is the semi-perimeter.

Here, first find the semi-perimeter.

`\begin{gathered} s=(a+b+c)/(2) \\ =(370+600+525)/(2) \\ =747.5\text{ ft} \end{gathered}`

Now, find the area.

`\begin{gathered} A=√(747.5(747.5-370)(747.5-600)(747.5-525) \\ =96233.237\text{ ft}^2 \end{gathered}`

b) If 1 acre is 43560 square feet, then