Answer:
42cm²
Step-by-step explanation:
To find the area of the figure, it's easiest to divide the given shape into two pieces, find the area of each, and then add the areas together.
We can divide this shape multiple ways. We can either divide it into two rectangles with the dimensions 5×6 and 4×3, or 5×2 and 4×8.
In this explanation, we'll use the dimensions 5×6 and 4×3. These shapes are made by dividing the figure at the top extension.
The top part of this has the dimensions 4×3. The bottom has the dimensions 5×6.
To find the area of both of these, we can multiply the length and width of the shapes. For the top shape-
4 × 3 = 12
For the bottom shape-
5 × 6 = 30
We now have the areas 12cm² and 30cm². We can add these together to find the total area.
12 + 30 = 42
The area of the figure is 42cm².
Good luck ^^
I hope this helps :)