Find the area of the following shape. you must show all work to receive credit.

54 units²

Step-by-step explanation:

The area can be found by cutting the shape and adding the small pieces:

The area of triangle AFB will be:

Area =

base = 10 units

height = 3 units

Therefore, the area =

The area of the other shapes:

A = 0.5 (1* 6)

   = 3 units²

The area of the rectangle = lb

                                           = 6 × 6

                                            = 36 units²

Total area = 15 + 3 + 36

                 = 54 units²