Answer:
[tex]42\:units \:square[/tex]
Step-by-step explanation:
We can divide the polygon into a rectangle and a triangle as shown in the attachment.
The rectangle has dimensions [tex]l=5[/tex] units and [tex]w=7[/tex] units.
The area of the rectangular portion is
[tex]=5\times 7=35[/tex] square units.
The area of the triangular portion is
[tex]Area=\frac{1}{2}\times base \times height[/tex]
[tex]Area=\frac{1}{2}\times 7 \times 2=7[/tex] square units.
Therefore the area of the polygon is [tex]=35+7=42[/tex] square units.
