Answer: [tex]42 units^{2}[/tex]
Explanation:
We can divide this figure in a rectangle with base [tex]b=1 unit[/tex] and height [tex]h=12 units[/tex]; and a right triangle with base [tex]B=5 units[/tex] and height [tex]H=12 units[/tex].
Now, the total area [tex]A[/tex] of the figure will be the area of the rectangle [tex]A_{rectangle}[/tex] plus the area of the triangle [tex]A_{triangle}[/tex]:
[tex]A=A_{rectangle}+A_{triangle}[/tex]
Where:
[tex]A_{rectangle}=(b)(h)=(1 unit)(12 units)=12 units^{2}[/tex]
[tex]A_{triangle}=\frac{(B)(H)}{2}=\frac{(5 units)(12 units)}{2}=30 units^{2}[/tex]
Then:
[tex]A=12 units^{2}+30 units^{2}[/tex]
[tex]A=42 units^{2}[/tex] This is the area of the figure
