Answer:
[tex]90 {cm}^{2} [/tex]
Step-by-step explanation:
First we have to split the entire shape into smaller pieces. We see two triangles and 3 rectangles.
[tex]area \: of \: tringle = \frac{1}{2} base \times height[/tex]
The base of the triangle is 3 and the height is 4
[tex] \frac{1}{2} (3) \times 4 = 6 [/tex]
we then multiply 6 by 2 because there are two triangles and both of them are equal (have the same measurement): 《6 x 2 = 12 cm^2》
[tex]area \: \: of \: rectangle = length \times width[/tex]
Therefore the area of the rectangle on the side would be: 《6 x 5 = 30》. It would also be multiplied by two because there are two rectangles at the side (both being equal) :《30 x 2 = 60 cm^2》
There is also a rectangle at the base of the shape, we use the same formula to find its area: 《6 x 3 = 18 cm^2》
We now add all of the areas that we got for the shapes: 12 + 60 + 18 = 90
