What is the answer to this question show work

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.



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.



Now, use the formula for the area of the triangle.



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! :)