The area of the polygon is required.
The area of the polygon is D. 80 square units
For triangle BCD
b = Base = 4-2 = 2 units
h = Height = 4 units
Area
[tex]\dfrac{1}{2}bh\\ =\dfrac{1}{2}\times 2\times 4\\ =4\ \text{units}^2[/tex]
For triangle DEF
b = Base = 2-(-1) = 3 units
h = Height = 4 units
Area
[tex]\dfrac{1}{2}bh\\ =\dfrac{1}{2}\times 3\times 4\\ =6\ \text{units}^2[/tex]
For trapezoid ABFG
a = 4-(-1) = 5.5 units
b = 4-(-8) = 12 units
h = 8 units
Area
[tex]\dfrac{1}{2}(a+b)h\\ =\dfrac{1}{2}(5.5+12)\times 8\\ =70\ \text{units}^2[/tex]
Total area is
[tex]4+6+70=80\ \text{units}^2[/tex]
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