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So the area of rectangle ABCD is equal to the number of 1-by-1 squares we can fit on this rectangle. I think you already might get a sense of how to do it a little bit quicker.
And so when you add this guy and this guy together, you are going to get a whole one. Well, a square is just a special case where the length and the width are the same. And let's call that XYZ-- I don't know, let's make this S. Or if you want to think of it, you square it, which is where the word comes from-- squaring something.
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And maybe I'll label the points A, B, C, and D. And we know that AB is equal to 7, and we know that BC is equal to 5. Let's say that you have a square, which is a special case of a rectangle. And let's say that this square has a perimeter. So given that, what is the length of each of the sides? They all have the same measure, and we call that x. I have 5 squares in this direction, 7 in this direction. So if I have a rectangle, let's say the rectangle is 1/2 by 1/2 by 2.
And we want to know, what is the perimeter of ABCD? The perimeter of rectangle ABCD is just going to be equal to the sum of the lengths of the sides. Plus DC is going to be the same length is AB, which is going to be 7 again. And then finally, DA a or AD, however you want to call it, is going to be the same length as BC, which is 5 again. So you have 7 plus 5 is 12 plus 7 plus 5 is 12 again. A square has 4 sides and 4 right angles, and all of the sides are equal. Well, all the sides are going to have the same length. If AB is x, then BC is x, then DC is x, and AD is x. So if we want to figure out the perimeter here, it'll just be x plus x plus x plus x, or 4x. x plus x plus x plus x, which is equal to 4x, which is going to be equal to 36. And to solve this, 4 times something is 36, you could solve that probably in your head. This is 9, and then the height right over here is also 9. Area is kind of a measure of how much space does this thing take up in two dimensions? Then we have 3 rows and then 4 rows and then 5 rows. And that makes sense because this is 1, 1, 1, 1, 1.