Hey there!
To get the area of this compound shape, let's divide this shape into two parts. After you do that, we have a square and a triangle. Let's solve for the square first.
The square has dimensions of 12 cm for each side. Thus, we just square the side length to get the area.
[tex]12^2=144[/tex]
Thus, the square has an area of 144 cm². Now, let's find the area of the triangle.
We know that the triangle has a base length of 12 cm, but the height is not directly given. To find the height, subtract 12 from 17.
[tex]17-12=5[/tex]
Now, use the formula for the area of the triangle.
[tex] \frac{1}{2}bh= \frac{1}{2}5*12=30[/tex]
The triangle has an area of 30 cm². Now, add the area of the triangle and the square.
144+30=174
The compound figure has an area of 174 cm².
Hope this helps! :)
