Answer:
42 square units
Step-by-step explanation:
Think of the polygon as being the rectangle GPST added to the triangle PES.
total area = area of rectangle GPST + area of triangle PSE
= LW + bh/2
= GT × GP + PS × h / 2
= 7(5) + 7(2)/2
= 35 + 7
= 42
Just a note of the height of the triangle. The height of triangle PSE, h, is the segment with endpoints E and point (2, 2), so its length is 2.
