) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimensional space. The points are (2, 7), (8, 2), (6, 11), (6, 5), and (11, 6). Use determinants to calculate the area of the polygon formed by the sensors.

The polygon area is

Step-by-step explanation:

Points:

(2,7), (8,2), (6,11), (6,5), (11,6)

1. The area of the polygon could be calculate with the eqation:

2. Replace the coordinates in equation for A:

3. Solve the determinant, and calculate A:

The polygon area is

12.5 feet

step-by-step explanation:

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.