write a program either in Matlab or C language to calculate

write a program, either in Matlab or C language, to calculate the area embraced by the following points: (2.4, 16), (3.6, 28), (4, 20.3), (5.5, 36.2), (8, 30.2), (9.8, 25), (11.8, 32), (12.3, 22.2), (10.5, 18), (9.5, 12.8), (7.8, 12.3), (6.2, 17), (4.3, 15.2), (3.2, 12), and (2.4, 16).

Solution

Convert the points into a matrix form

M =

[2.4 16

3.6 28

4 20.3

5.5 36.2

8 30.2

9.8 25

11.8 32

12.3 22.2

10.5 18

9.5 12.8

7.8 12.3

6.2 17

4.3 15.2

3.2 12

2.4 16

]

Matrix would be of dimension 15*2.

To calculate the area of the polygon in Matlab, we can use the library \"polyarea\".

Area = polyarea(M (:, 1), M (:, 2)); where M is the matrix constructed using the input data points.