Carlito is calculating the area of the composite figure.
We will list six possible ways to calculate it. To start, we can divide the figure into rectangles. Then we can find the area of the rectangles and sum the areas. Let's start with the first solution method.
We divided the composite figure into three rectangles. From here, we will find the areas of these rectangles.
Area of the Blue Rectangle
2 * x = 2x
Area of the Green Rectangle
2* ((x+8)+3)= 2(x+11)
Area of the Orange Rectangle
2* (x+8)= 2(x+8)
Now we will sum the areas to find the area of the composite figure.
2x+ 2(x+11)+ 2(x+8)
We demonstrated one way to find the total area. We will find five other ways with a similar approach.
As a result we showed the six different ways to calculate the desired area.
lc
1.) 2x+2(x+11)+2(x+8) [0.5em]
2.) 2(x+4)+4(x+6)+2(3) [0.5em]
3.) 2x+4(x+8)+2(3) [0.5em]
4.) 2(x+4)+2(x+9)+2(x+6) [0.5em]
5.) 2(x+2)+2(x+9)+2(x+8) [0.5em]
6.) 2x+2(x+8)+2(x+8)+2(3)
Note that to find the area of the composite figure, there are more than six ways. Our method is just a sample answer.
