Perimeter and Area (Compound Figures)

 If you are familiar with finding perimeter and Area of individual shapes, you will just need to learn few things to get a hang of finding perimeter and area of compound figures.

Look at the shape below and ,et's try to find the perimeter and area of this figure.

Upon close inspection we can see that it's two rectangles that are 'stuck' together. 

We don't have to get all worked u for this small question. 

For perimeter, we can simply add all the sides, since perimeter is the boundary outside the figure.

So total perimeter of this figure would be:

Perimeter = 7 + 11 + 2 + 7 + 5 +4

          = 36 cm

(Remember to find the length of any missing sides before adding).

Now for area, we can use the formula of a rectangle and find individual areas of the two rectangles inside the figure and add them up. (Area is the total space taken up by the figure). 

                

So Area of Rectangle 1 = l x b

                       = 7 x 2

                       = 14cm²

So Area of Rectangle 2 = l x b

                       = 7 x 4

                       = 28cm²

Total Area = 14cm² + 28cm²

           = 42cm²

^{Watch the video below to get more familiar with finding perimeter and Area of compound figures.}

^{https://www.tiktok.com/@fathimath_azlifa/video/7361734854398053633?_t=8loyHMGMVqi&_r=1}

^{If you are confident in this lesson, try the worksheet on the link below to see how confident you are:}

^{https://drive.google.com/file/d/1EnXG__9fagyNluYOWBUozi03tc9CeJdo/view?usp=sharing}