Answer:
159.6 mm²
Step-by-step explanation:
In the bottom half, there are two triangles and a box. The height of the triange is 9.8 and we can correctly assume that the base is 3 mm, so the area of one of the trianges is 14.7
A=1/2bh
9.8x3x1/2=14.7
We then know that there is another congruent triangle on the opposite side, which makes the two triangles 29.4.
Then in the middle you are left with 9.8 height and a base of 9.
A=bh
A=9.8x9
A=88.2
So the area of the whole bottom portion is 88.2+29.4=117.6
Now we tackle the top half.
There are two congruent triangles on both sides of it, with bases of 1.5, because the 12-9=3 and 3/2=1.5
A=1/2bh
A=1/2x1.5x5
A=3
Since there are two triangles, we would add 6.
Last, we have a rectangle with a height of 4 and a base of 9.
A=bh
A=4x9
A=36
36+6=42
Add up all of the smaller areas to get the big area
117.6+42=159.6 mm²
