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 water?
To find the area of the land that would absorb the water, we first need to calculate the area of the triangle formed by the three given coordinates using the formula for the area of a triangle:
Area = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
Substitute the values of the given coordinates into the formula:
Area = 0.5 * |0(2.1 - 4.4) + 2.8(4.4 - 0) + 4.3(0 - 2.1)|
Area = 0.5 * |13.904|
Area ≈ 6.952
Therefore, the area of the land that would absorb the water is approximately 6.952 square units.