To find the area of the given polygon, first we will join P and S .
So we have two figures here, a rectangle GPST, and a triangle , PES .
Area of rectangle is length times width .
For the given rectangle, area is GP times PS .
![GP= 2-(-3) = 2+3 =5 \\ PS = 4-(-3) = 4+3=7 \\ Area = 5* 7= 35 square \ units](/tpl/images/0363/6895/e1549.png)
And for triangle , area is half of the product of height and base.
For the given triangle,
![Height = 4-2=2 \\ base=4-(-3)=7 \\ Area=(1/2)2*7 = 7 \ square \ units](/tpl/images/0363/6895/95537.png)
Total area of the polygon is the sum of areas of rectangle and triangle , that is
![Total \ area = 35+7 = 42 \ square \ units](/tpl/images/0363/6895/74ea2.png)