Problem of the Week

Problem E

Tima owns a triangular parcel of land that is created by three intersecting roads, as shown. Two of the roads meet at a right angle and two of the roads intersect at a $$25^{\circ}$$ angle. If the perimeter of the triangular parcel of land is 1000 m, what is its area to the nearest 100 m$$^2$$?
Recall: For any acute angle, $$\theta$$, of any right-angled triangle, we define the following:
sin $$\theta= \frac{\mbox{opp}}{\mbox{hyp}}$$, cos $$\theta= \frac{\mbox{adj}}{\mbox{hyp}}$$, tan $$\theta= \frac{\mbox{opp}}{\mbox{adj}}$$