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Lesson 3: Area formula intuition

# Transitioning from unit squares to area formula

Lindsay finds the area of a rectangle both by counting unit squares and multiplying side lengths.  Created by Lindsay Spears.

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• I'm super confused. I CAN'T FIGURE THIS OUT! Can you help me? I'm having trouble understanding any of this. Could you explain it more? • So how we are doing this is like we are multiplying so take a sheet of paper and draw a square not a perfect one but as good as you can, Then measure it so you will have to measure the length and the width guys, then you have to pick the size of the square you want to measure with , i example a centimeter so my square has two dimonsons example 6 and 7 multiply them 6x7=42 so my square is 42 centimeters , got it ?
• help me understand this! • that's true the only thing is when calculating the area of a square you can simply multiply one of the sides by itself since you know the other sides are all the same. and does it matter if it's a rectangle or a square in ares wouldn't still be length times width? • how is this gonna help us in life? • upvote me if you like Jesus • Its Supercalifragilisticexpialidocious even though the sound of it is quite atrocious if you say it loud enough you'll only sound precocious Supercalifragilisticexpialidocious. um diddle diddle um diddle ay um diddle diddle um diddle ay,Because I was afraid to speak when I was just a lad
Me father gave me nose a tweak, told me I was bad
But then one day I learned a word that saved me achin' nose
The biggest word you ever heard and this is how it goes
Oh, supercalifragilisticexpialidocious
Even though the sound of it is something quite atrocious
If you say it loud enough you'll always sound precocious
Supercalifragilisticexpialidocious
Um-dittle-ittl-um-dittle-I
Um-dittle-ittl-um-dittle-I
Um-dittle-ittl-um-dittle-I
Um-dittle-ittl-um-dittle-I
He traveled all around the world and everywhere he went
He'd use his word and all would say there goes a clever gent
When dukes or Maharajas pass the time of day with me
I say me special word and then they ask me out to tea (woo)
Supercalifragilisticexpialidocious
Even though the sound of it is something quite atrocious
If you say it loud enough you'll always sound precocious
Supercalifragilisticexpialidocious
Um-dittle-ittl-um-dittle-I
Um-dittle-ittl-um-dittle-I
You know you can say it backwards which is
Dociousaliexpisticfragicalirupus
But that's going a bit too far, don't you think?
Indubitably
So when the cat has got your tongue there's no need for dismay (here-ye)
Just summon up this word and then you've got a lot to say
But better use it carefully or it could change your life
For example
Yes?
One night, I said it to me girl and now me girl's me wife
Oh, and a lovely thing she is, too
She's
Supercalifragilisticexpialidocious
Supercalifragilisticexpialidocious
Supercalifragilisticexpialidocious
Supercalifragilisticexpialidocious
Source: LyricFind • - [Voiceover] This square is 1 square unit, so what is the area of Rectangle A? The first thing we're told is that each of these little squares equal 1 square unit, and then, we're asked to find the area of Rectangle A. Here's Rectangle A, and area is the space that it covers. So how much space does Rectangle A cover? How many square units does Rectangle A cover? One way to answer that would be count how many square units it covers, except they've covered up our square units. So, one idea's we could draw them back. Say you cover'em up, we'll draw them back in. So goin' like this, connect all these, and then, we should be able to count our square units. So we have one, two, three, four, five six, seven, eight, nine, 10, 11, 12. 12 square units. Rectangle A covers 12 square units, so it has an area of 12 square units. But this isn't the only way that we could've solved this. We could've also said, we could've also looked at this and said, okay, this top row is four square units long. One, two, three, four, has a length of four units. So that means the top row will have one, two, three, four square units inside of it. And then we coulda looked over on the side, over here, and said, well, how many rows of four will they'll be? It'll be one, two, three rows of four. So we'll have this row of four, and then a second row of four, and a third. So three times, we will have four square units. There's four square units at the top, another in the middle, and another at the bottom. Three times, we will have four square units. Or, we could go even farther than that. So we coulda done three times four, or we could look at this and say, okay, here's one column. This column has three square units. It has a length of three. One, two, three. How many of these columns like this will there be? There'll be one, two, three, four, 'cause our length here at the top is four. So, this time, four times, we will see three square units. One, two, three, and we'll see that one, two, three, four times. So, no matter which of these we solved, whether we counted the square units like in the beginning, or we multiplied the side lengths, the three and the four, in every case, we're gonna find that this equals 12 square units. The area of Rectangle A is 12 square units because it covers 12 square units. • they are soooo long   