The given polygon can be divided in two parts 1) Triangle PES 2) Rectangle GPST
The sum of the areas of the triangle and the rectangle will give the area of the polygon.
1) Area of any triangle can be found by the formula A=[tex] \frac{1}{2} bh [/tex]
b denotes the base of the triangle and h is the height of the triangle.
In the given triangle base PS =7 units and h= 2 units .
Substituting these values we have
A=[tex] \frac{1}{2} .7.2 [/tex]
A= 7 square units.
2) Area of rectangle can be found by the formula A= length x width.
For rectangle GPST length = 5 units ,width = 7 units
Area of rectangle =5x7=35 square units
Area of polygon = 7+35=42 square units.
Area = 72[tex] units^{2} [/tex]
