If I were to tell you that I have a two dimensional space that has a finite area, so it's not infinite and also has no edge this once again, when you first look at it, it seems difficult how do I construct something that has a finite area but still has no edge?

Surface

Area

The determinant of this is ad minus bc, by definition.

So what I would do I would figure out the area of this bathroom floor, and then divide by the area of the tiles.

Area squared is equal to ad minus bc squared.

So what is this equal to?

Let me write a nicer integral sign.

I'm focusing so much not to make careless mistakes.

We're going to take the sums of these rectangles, from x is equal to a, to x is equal to b.

Sector Surface

So what is our area squared going to be?

What is the area of this city?

20 times 5 is 100... 20 times 50 is 1000 square meters.

The area of Canada is greater than that of the United States.

This is essentially just this is the indefinite integral of x squared plus 1.

So what's the integral of this thing?

Now it looks like some things will simplify nicely.

Area and Perimeter

So if we just multiply this out, let me write it here.

let's do, surface

And 55 is a lot. On a per area basis,

So what I want you to do is now pause this video and, based on the information given on these other rectangles, so on some of them, we give you two of their dimensions and, some of them, we give you something like the perimeter and one of the dimensions.

Problem 38.

The area in central Japan.

Because then both of these terms will get squared.

You have to focus your attention, and use your diaphragm and muscles much more than normal.

But for some constant y, what if I could just figure out the area under the curve there?

Let me write it this way

That's close enough.

This area became home to Hati.

We have a similar base, so this is equal to what?

Please find the area of the triangle.

So you recognize that wind and solar are environmentally invasive forms of energy generation?

6 times 6, it's 24.

And I'll plot it there and it'll be a point on the surface.

And the last one, and you probably realize this, is just the surface area.

I'm going to have 35 did I say cube squares. I have 5 squares in this direction, 7 in this direction. So I'm going to have 35 total squares.

Because this is longer.

Fair enough.

And they tell us that the area is 168.

Well, pressure is force divided by area.

Three square furgles . So it's the same exact area. Three square furgles is equal to twelve square feet.

Leaves lay thick over the ground.

We have the area of ABCD is going to be equal to 2 times the area of ABC, this thing right over here