Answer:
23.025 square inches.
Step-by-step explanation:
To do this, we can split our polygon into 3 different shapes, a triangle, and 2 rectangles, and adding the areas of those 3 shapes together.
Specifically, triangle ABC, rectangle ACHI, and rectangle DEFG.
First we can start with the area of the triangle.
The area of a triangle is 1/2b*h. (1/2*base*height)
The base of the triangle AC, which is 4.2 inches. (9-4.8, Total length-DE)
The height is 2.75 inches. (6-3.25, Total height-AI)
Put it into the formual:
1/2*4.2*2.75=5.775
Next, I'm going to find the area of rectangle ACHI. The formula for the is just l*w (length*width)
The length is IH which is 4.2 inches. (9-4.8, total length-DE)
The width is AI which is 3.25 inches. (1.3+0.75+1.2, CD+EF+GH)
3.25*4.2=13.65
Now, we are going to find the area of rectange DEFG. Again, the formula is just l*w.
The length is DE which is 4.8 inches.
The width is EF which is 0.75 inches.
4.8*0.75=3.6
Now we add these areas together.
5.775+13.65+3.6=23.025
So the area of the model is 23.025 square inches.
