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?
(1 point)
Responses
1.65 mi²
1.65 mi²
9.03 mi²
9.03 mi²
1.1 mi²
1.1 mi²
10.68 mi²
The area of the land that would absorb the water can be calculated using the formula for the area of a triangle.
Area = 0.5 * base * height
To find the base and height, we can use the coordinates (0, 0) and (2.8, 2.1) to calculate the base and height of the triangle formed by those two points.
Base = 2.8 - 0 = 2.8
Height = 2.1 - 0 = 2.1
Now, we can calculate the area:
Area = 0.5 * 2.8 * 2.1 = 2.94 mi²
Therefore, the area of the land that would absorb the water is approximately 2.94 mi².