How to calculate square metres - area of rectangles - By tecmath
Transcript
| 00:01 | Good day . Welcome to the Tech Math channel . | |
| 00:03 | This is a quick video that looks how to work | |
| 00:04 | out the area of a rectangle . That is the | |
| 00:07 | space taken up by a rectangle . So probably I | |
| 00:10 | guess the first important thing to think about whenever you're | |
| 00:12 | looking at area is that you recognize that you're dealing | |
| 00:15 | with a two dimensional shape . A two dimensional shape | |
| 00:18 | is a flat shape that has two dimensions . A | |
| 00:21 | rectangle has the dimension of length and it has the | |
| 00:24 | dimension of width . So when we're looking at describing | |
| 00:29 | the area of this two dimensional shape , we need | |
| 00:31 | to use special two dimensional units . Okay , Square | |
| 00:35 | units such as we have here , say , in | |
| 00:37 | the forms of , say meters squared . So this | |
| 00:40 | could be one metre squared , which is literally going | |
| 00:42 | to be one m . Buy one m . It's | |
| 00:45 | a two dimensional unit that we can use to describe | |
| 00:48 | the space taken up by a two dimensional shape . | |
| 00:51 | We could also have centimeters squared , which would be | |
| 00:53 | one centimeter by one centimeter or inches squared , which | |
| 00:56 | would be one inch by one inch . I think | |
| 00:58 | you get the idea on that . So how do | |
| 01:00 | you go about working at the area of a rectangle | |
| 01:03 | ? Well , the formula is pretty simple for this | |
| 01:06 | . The area of a rectangle is equal to the | |
| 01:09 | length , multiplied by the width , the length times | |
| 01:15 | the width . Okay , so pretty simple . So | |
| 01:17 | pretty simple . Let's put a couple of dimensions in | |
| 01:19 | here . So here we have three m . Okay | |
| 01:23 | , 123 m . And along our lengthier we have | |
| 01:27 | four m . So the area is equal to the | |
| 01:30 | length times width . The area is equal to the | |
| 01:32 | length which is four m multiplied by the width , | |
| 01:36 | which is three m . 4 m times three m | |
| 01:39 | is equal to 12 m squared . Ok . Meters | |
| 01:43 | , times meters gives us meters squared . Same way | |
| 01:47 | here , meters times meters gives us meters squared . | |
| 01:50 | And we can see that this is the case . | |
| 01:52 | You can see how many one m squared occur in | |
| 01:56 | our rectangle here we have 12345678 9 , 10 , | |
| 02:05 | 11 , 12 . So it's pretty simple little thing | |
| 02:09 | to do right ? Just one thing to watch out | |
| 02:11 | for . And I'll show you in this example right | |
| 02:14 | now . Okay , in this example here we are | |
| 02:17 | going to work out the area of a rectangle that | |
| 02:19 | has a length of 3000 millimeters and a width of | |
| 02:23 | 2.5 m . But you might notice a problem straight | |
| 02:26 | away . We're going to be trying to work this | |
| 02:28 | out in meters squared , but we have this problem | |
| 02:30 | . We have a unit here , the 10 m | |
| 02:31 | , but our unit here is in millimeters . So | |
| 02:34 | it's an important thing that when you're working at area | |
| 02:36 | that you're dealing with the same units and in this | |
| 02:39 | case because we want things in meters , we're going | |
| 02:42 | to start with our units both being in meters . | |
| 02:44 | So this one here is already in meters but are | |
| 02:47 | 3000 millimeters needs to be changed across two m . | |
| 02:51 | Now you may or may not know this , but | |
| 02:53 | there is 1000 millimeters in one m . So how | |
| 02:57 | many meters ? In 3000 millimeters ? This is equal | |
| 03:01 | to three m . We divide by 1000 and get | |
| 03:03 | three m . So now we can work out this | |
| 03:06 | area . The area is equal to the length times | |
| 03:08 | the width . The length is three m . The | |
| 03:12 | width is 2.5 m , So three times 2.5 we | |
| 03:18 | have an area which is equal to 7.5 m Squared | |
| 03:24 | . OK , here's the final example . You give | |
| 03:25 | it a go . What you're going to see is | |
| 03:27 | we have a rectangle which has a length of four | |
| 03:30 | cm and a width of 35 mm . So we're | |
| 03:35 | going to work out the area . So first off | |
| 03:37 | , what you're going to have to do is you're | |
| 03:39 | going to have to change these mm here Into cm | |
| 03:43 | . There is 10 in a centimeter . So this | |
| 03:47 | is 3.5 centimeters . Now we can go through and | |
| 03:52 | work out the area . The area is equal to | |
| 03:54 | the length . That is four centimeters , multiplied by | |
| 03:58 | the width . That is 3.5 centimeters four centimeters times | |
| 04:03 | 3.5 centimeters is equal to 14 centimeters squared . Anyway | |
| 04:10 | , that's my quick video . Looking at how to | |
| 04:11 | work out the area of a rectangle . It's pretty | |
| 04:14 | simple , but it's a pretty simple thing to do | |
| 04:17 | . Anyway , tell us what you thought of this | |
| 04:18 | video please like and subscribe . See next time . | |
| 04:21 | Bye . |
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