Question

..........................................................................

Answer 1

`90 {cm}^(2)`

Explanation:

First we have to split the entire shape into smaller pieces. We see two triangles and 3 rectangles.

`area \: of \: tringle = (1)/(2) base * height`

The base of the triangle is 3 and the height is 4

`(1)/(2) (3) * 4 = 6`

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》

`area \: \: of \: rectangle = length * width`

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