One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up the boundary area are (0,0), (2.8, 2.1), and (4.3, 4.4). What is the area of the land that would absorb the area?

Question

One factor in flood safety along a levee is the area that will absorb water should the levee break.  The coordinates that make up the boundary area are (0,0), (2.8, 2.1), and (4.3, 4.4).  What is the area of the land that would absorb the area?

anonymous · Answer

Did you ever figure this out? @kra313

anonymous · Answer

Area = |(1/2)[Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]| 
= |(1/2)[0(2.1 - 4.4) + 2.8(4.4 - 0) + 4.3(0 - 2.1)]| 
= 1.645 mi^2