1. ## Surveying calculations

Hi,
I was wondering which would be the best way to perform the calculations on the attachment.A plot of land has been surveyed which gives the offset values from a straight boundary. Am I right in thinking drawing a sketch and then using simpsons rule,mid-ordinate or trapezoidal rule to get the area would be the way to go?

Thanks....Mark

2. Hello manich44
Originally Posted by manich44
Hi,
I was wondering which would be the best way to perform the calculations on the attachment.A plot of land has been surveyed which gives the offset values from a straight boundary. Am I right in thinking drawing a sketch and then using simpsons rule,mid-ordinate or trapezoidal rule to get the area would be the way to go?

Thanks....Mark
Yes.

3. Hello, Mark!

If I read that table correctly, nothing fancy is needed.

Yes, I would make a sketch then use the area formula for trapezoids.
Code:
                      *
*   |
*       |
*   |       |
*       |       |54.8
|       |39.6   |
|19.4   |       |
|       |       |
* - - - * - - - * - - -
25      25

Formula: . $A \:=\:\frac{h}{2}\,\left(b_1 + b_2\right)$

The first trapezoid has: . $\begin{array}{ccc} h &=& 25 \\ b_1 &=& 19.4 \\ b_2 &=& 39.6 \end{array}$

. . Therefore: . $A_1 \;=\;\frac{25}{2}\left(19.4 + 39.6\right) \:=\:737.5$

Thanks guys.