What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (4, −2) , (5, 1) , (2, 3) , (−1, 1) enter your answer in the box. units²

24 square units

Step-by-step explanation:

Try this method. First write the coordinates of each point on a new line. Repeat the first point at the bottom after the dashed line.

     -2      -2

      4      -2

      5       1

      2       3

     -1        1

     -2      -2

Now multiply each x-coordinate from the left column by the y-coordinate  below it in the right column and write the answer to the right. I did it below in bold.

        -2      -2

         4      -2        4

         5       1         4

         2       3       15

        -1        1         2

        -2      -2        2

Now multiply each y-coordinate from the right column by the x-coordinate  below it in the left column and write the answer to the left. I did it below in bold.

            -2      -2

 -8        4      -2        4

-10       5       1         4

  2        2       3       15

 -3      -1        1         2

 -2       -2      -2        2

Add the numbers in the left bold column and add the number in the right bold column.

         -2      -2

 -8        4      -2        4

-10       5       1         4

  2        2       3       15

 -3      -1        1         2

 -2       -2      -2        2

-21                            27

The area of the polygon is the absolute value of half of the right sum minus the left sum.

A = | 1/2 (right sum - left sum) |

A = | 1/2 (27 - (-21) |

A = | 1/2(48) |

A = |24|

A = 24

Area = 24 square units

-9

step-by-step explanation: