What's the area of the rectangle?

So what's the area of this purple rectangle?

Area of the blue rectangle, 9 times 12.

And the area of this rectangle is 15.

And then what's the area of this blue rectangle?

So the area of this triangle is exactly 1 2 of the area of that rectangle.

That would give us the area of an entire rectangle.

So the area of this rectangle is, indeed, 8 square meters.

So what is the area of this rectangle going to be?

And over here if you calculate the area of this purple rectangle.

The area of the rectangle part is 8 times 5, that's 40.

Well, the area of the rectangle is just base times height, right?

So the area of rectangle ABCD is equal to the number of 1 by 1 squares we can fit on this rectangle.

Now, you could probably figure out what the area of this rectangle is.

So the area of a rectangle is just the width times the height.

What is the distance around the rectangle that bounds this area?

To figure out the area of this rectangle we need to know its height.

Rectangle Draw a rectangle

You'll get the area of this rectangle, which might be a pretty good approximation for the area under the curve.

So this whole thing, the area this entire of this entire magenta rectangle, is 1.

Express the area of a rectangle with length 4y and width 2y as a monomial.

You can see, hopefully, from this drawing that the area of this triangle is exactly 1 2 of the area of the entire rectangle.

Rectangle

Rectangle

Rectangle

If we did 7 times 4, that would give us the area of this entire rectangle.

I have this rectangle here and I want to figure out its area.

Filled rectangle Draw a filled rectangle

And we're going to take the sum of the two to find the area of the larger rectangle.

Now this transformation has doubled the area of the original figure, and therefore we have just learned that the area of the triangle equals the area of this rectangle divided by two.

So this one right over here has the same area, different perimeter. Same area as the original, as the original yellow rectangle, different area.

like half of a rectangle.

Filled Rectangle

Rectangle count

Rounded Rectangle

A rectangle

Change rectangle

Rectangle Shape

And I'm assuming that the area of this entire magenta rectangle I already drew, that's 1 or 100 .

So for example, if we were going back to this rectangle right here, and I wanted to find out the area of this rectangle and the notation we can use for area is put something in brackets.

Rectangle Click this to start drawing a rectangle.

A square is one type of rectangle, and a rectangle is one type of parallelogram.

That's the height of that rectangle.

Or you could separately figure out the area of this red or this purple rectangle and then separately figure out this blue rectangle and realize that their combined areas is the exact same thing as the entire rectangle.

And I encourage you to pause this video and try to figure out the area of this entire rectangle.