Aim: How do we solve compound area problems?

You need to find the area of the first figure and add the sum to the area of the second figure.

Example:



As you can see this figure can be divided into two rectangles. First step you divide the figure in to two figure or more if needed.
In this figure, we have two rectangles. To find the area of a rectangle you need to multiply the length and the width.
For the rectangle on the left side, the height is 9 cm. We need to find the width. As you can see on the top of the rectangle on the right there is a measurement of 6 cm. On the base there is a mesurement of 10 cm . You subtract 10 -6 which gives you . The next step is that if we cut the rectangle all the way from the 6 cm lines the height will not be 9 cm. On the right side there is a line that says 2 cm you have to subtract 9 from 2 which will give you seven.
Then, you multiply 4*7 which will give you a product of 28cm cubed.

For the second rectangle, we already got the measurements for it the width is 2cm and the length is 10 cm. 10cm * 2 cm equals to 20 cm squared.
Lastly you add the areas of the two figure and you are left with 28 cm cubed plus 20 cm cubed and you get a sum of 48 cm cubed, and that is your area.



                                                   Try it on your own!!


What is the area of this figure?




All info. from my brain and pics. from google.com.