Question

What is the area of the polygon

Answer 1

Split this polygon into 2 shapes of triangle (top) and rectangle (bottom)
Area of triangle = 1/2 bh = 1/2 (7)(2) = 7 
Area of rectangle = wl = 7 x 5 = 35

so
Area of the polygon = Area of triangle + Area of rectangle
= 7 + 35
= 42

Answer
42 square units