Chapter 6.2, Problem 50PE

A surveyor fixes a $200\text{-ft}$ baseline between points $A$ and $B$ , where $B$ is due east of $A$ The bearing from $A$ to a third point $P$ is $\text{S}37°\text{W}$ and the bearing from $B$ to $P$ is $\text{S}62°\text{W}$ . Find the perimeter and area of the triangular plot of land formed by $A,B$ , and $P$ . Round the perimeter to the nearest foot and the area to the nearest $100$ square feet.