We have been given a polygon and we are asked to find the area of polygon using quadrant system.
Let one square of quadrant be equal to one unit.
Let us start with first quadrant. We can find area of polygon in this quadrant by counting the number of squares. We have [tex]4\cdot 3=12[/tex] square units.
Area of polygon in the second quadrant is 16 square units.
Area of polygon lying in the third quadrant is 5 square units.
Area of polygon lying in fourth quadrant is 12 square units.
Now we can find the area of polygon by adding areas of all quadrants.
[tex]\text{Total area of polygon}=12+5+16+12=45\text{square units}[/tex]
Therefore, total area of polygon is 45 square units.
