Answer:
![42 units^(2)](https://img.qammunity.org/2021/formulas/geography/middle-school/91pox9s16je759ifeooso4df5jk27eax0h.png)
Step-by-step explanation:
We can divide this figure in a rectangle with base
and height
; and a right triangle with base
and height
.
Now, the total area
of the figure will be the area of the rectangle
plus the area of the triangle
:
![A=A_(rectangle)+A_(triangle)](https://img.qammunity.org/2021/formulas/geography/middle-school/le5q7edtzly31bz3d1b66hs9ez2fe6boc4.png)
Where:
![A_(rectangle)=(b)(h)=(1 unit)(12 units)=12 units^(2)](https://img.qammunity.org/2021/formulas/geography/middle-school/lru9aorxkupq78svbpqbpyas51kxxcv3gz.png)
![A_(triangle)=((B)(H))/(2)=((5 units)(12 units))/(2)=30 units^(2)](https://img.qammunity.org/2021/formulas/geography/middle-school/vbcrmfqo0ymhrx0z3lh635k8xbsx22yx4a.png)
Then:
![A=12 units^(2)+30 units^(2)](https://img.qammunity.org/2021/formulas/geography/middle-school/7ywhiyqrzlmac8u638di2q45la6wmwjnpk.png)
This is the area of the figure