Compound Shapes: How to Find the Area of an L-Shape

Updated on June 14, 2016

Area Of A Composite Shape Video

A compound shape is a shape that is made up from other simple shapes. In this article we will be working out the area of a L shape (made up from 2 rectangles). To find the area of a compound shape, follow these simple steps:

Step 1: Work out the missing lengths around the edge of the compound shape.

Step 2: Divide your L shape into two rectangles. This can be done in 2 different ways (both methods will give the same answer).

Step 3: Work out the area of each rectangle. Do this by multiplying the base of the rectangle by the height of the rectangle.

Step 4: Add the areas of the rectangles together to give the total area of the L shape.

Example 1

Find the area of this compound shape (L shape).

Step 1

Work out the missing lengths around the edge of the compound shape.

10 – 6 = 4 cm

9 – 2 = 7 cm

Step 2

Divide your L shape into two rectangles.

In this case I have put the line horizontal.

Step 3

Now you need to find the area of the 2 rectangles:

The area of rectangle A is 10 × 2  = 20 cm²

The area of rectangle B is 4 × 7 = 28 cm²

Make sure you select the correct base and height lengths for each rectangle.

Step 4

All you need to do now is to add up the 2 answers from step 3.

20 + 28 = 48 cm².

So the total area of the compound shape is 48 cm².

Summary:

Find the missing lengths around your L shape and divide the shape into 2 rectangles. Find the area of both rectangle and add them up to give the total area of the compound shape.

Comments

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  • profile image

    Adnan Alam 

    4 months ago

    thank you so much!! i appreciate!!!! luv u!!!!

  • profile image

    vee 

    5 years ago

    thnx i got it nw

  • profile image

    matt 

    5 years ago

    anyone know how calculate a 2 cm border around this?

  • profile image

    Will the master of chess 

    5 years ago

    the teacher was not as good as this

  • profile image

    hameed khan 

    5 years ago

    Good Process but long Process....

  • profile image

    man 

    5 years ago

    Cheers mate really helped

  • profile image

    New new 

    5 years ago

    Thxx but I already knew how to do it I just need to see if I was rite but u did hlp with it so thx for dat bye

  • profile image

    isabella 

    5 years ago

    THAN YOU!!!!!!!!!!!!!!!!!!!!!!!!!! Now I remember!!

  • profile image

    shruti jain 

    6 years ago

    thank u but i didn't get the perimeter of L !! so if someone knows it plzz tell!!!

  • profile image

    x.x.x.Tabz.x.x.x 

    6 years ago

    thx dat was a lot of help!!!

  • profile image

    Princess Libyan 

    6 years ago

    Thanks God I've done this homework good with this help!!!

    Thanks lots!! ;)

  • profile image

    khaay 

    6 years ago

    Thamks a lot for your help ! ! doing my aims and i didn't know how to do this but now i do because of you ! : )

  • profile image

    jessics 

    6 years ago

    thank you!!!

  • profile image

    danny 

    6 years ago

    lots of help thanks :)

  • profile image

    BROWNGURL 

    6 years ago

    thes help a lot in my homework hu ever did thes web thakes a lot

  • profile image

    adan 

    6 years ago

    awsum dude i appreciate it

  • profile image

    margaret 

    6 years ago

    u r the beep in the whole universe

  • profile image

    ninja girl 

    6 years ago

    very helpful

  • profile image

    hmmm 

    6 years ago

    thanks i got 11 plus so that help's

  • profile image

    queen 

    6 years ago

    thx for help did th job

  • profile image

    princess 

    6 years ago

    lots of help for me !!!!!!!

  • profile image

    miss bossy 

    6 years ago

    this is very good help i think

  • profile image

    gogoluvr224 

    7 years ago

    plenty help!

  • profile image

    guy 1000 in a million 

    7 years ago

    lots of help

  • profile image

    kool person 

    8 years ago

    YAY!!!!!!! LoTs Of HeLp!

  • profile image

    cool 

    8 years ago

    good

  • profile image

    sean 

    8 years ago

    wonderful thank u for the help

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