Area of Composite Shapes - By tecmath
Transcript
| 00:0-1 | This video is about how to work out the area | |
| 00:03 | of composite shapes . These are shapes which basically are | |
| 00:05 | made up of a number of different parts and different | |
| 00:08 | main shapes like this one here , which is made | |
| 00:10 | up a couple different rectangles . So the way you | |
| 00:13 | do this is to break it up into the different | |
| 00:16 | shapes , which are easy to work out . This | |
| 00:18 | case is nice and a little shape becomes two rectangles | |
| 00:22 | . Okay , the area , this first shave up | |
| 00:23 | here , I'm going to change everything from millimeters to | |
| 00:25 | meters . Area is seven m By four m . | |
| 00:30 | So there are the big shape , there is 28 | |
| 00:32 | m And you work out the area of the little | |
| 00:34 | shape . Okay , that's 3.5 m by three m | |
| 00:38 | , Which gives us 10.5 m altogether . And to | |
| 00:42 | work at the total area of this competition shape , | |
| 00:44 | you just add these guys together . So we're good | |
| 00:48 | 28 m plus 10.5 metres , which gives us all | |
| 00:53 | together 38 a half meters squared . Okay , so | |
| 00:57 | the steps that are involved , first off , what | |
| 00:59 | we did is we broke up the shapes into their | |
| 01:01 | individual parts , who worked at the area of those | |
| 01:04 | individual parts , and then we add those together . | |
| 01:07 | We'll give another one to try . This shape is | |
| 01:09 | a little bit harder , but not too bad . | |
| 01:12 | As you see , it can be broken up into | |
| 01:13 | three different rectangles here , work at the area of | |
| 01:17 | this top little one here And what we're seeing this | |
| 01:20 | all being meters again is 3x1.5 m , which gives | |
| 01:24 | us 4.5 m . We get the area this big | |
| 01:28 | tank , we have a bit of a problem . | |
| 01:29 | We don't quite know what one of the sides is | |
| 01:31 | , so what we have to do is we have | |
| 01:34 | to get 9200 and take off 4600 and that will | |
| 01:37 | give us that side , which is also 4600 . | |
| 01:41 | So the area meters squared . But the big rectangle | |
| 01:44 | , we can work out now 12 By 4.6 , | |
| 01:50 | Which altogether is 55.2 m . Sweat . Finally , | |
| 01:55 | we have to work out the top rectangle , the | |
| 01:59 | area of meters squared of that . It's 4.6 m | |
| 02:02 | by 4.5 m , which gives us the answer of | |
| 02:06 | 20.7 m square . Finally , what we have to | |
| 02:10 | do is we have to total all these up . | |
| 02:13 | So we get all these we go Total area is | |
| 02:17 | 4.5 , Which gives us 80.4 m squared . Well | |
| 02:25 | , I hope that was of some help to you | |
| 02:27 | . Okay , bye . |
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Area of Composite Shapes is a free educational video by tecmath.
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