yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Creating rectangles with a given area 1 | Math | 3rd grade | Khan Academy


2m read
·Nov 11, 2024

Each small square on the grid has an area of one square unit. So, each of these small squares is one square unit. This square is one square unit, and this square is one square unit, and so on.

Now we're asked to draw a rectangle with an area of 10 square units. Well, this word "area" here is talking about how much space our shape covers. So, our shape, in this case, is a rectangle. We're being asked to draw a rectangle that covers 10 square units. We know that each of these is one square unit, so we want a rectangle that covers 10 of the square units.

We could try just drawing a rectangle right across this top row until we get 10 square units. But the problem there is there's only 1, 2, 3, 4, 5, 6, 7 square units going across the top. So we can't just do one long row of 10 square units. We can't do one long column either because 1, 2, 3, 4, 5, 6 only six square units. So, we can't draw a rectangle going down like that either because we need 10 square units.

So, that means we're going to have to break up our 10 into equal groups. Since it can't all fit on one row, we're going to have to break up the unit squares into groups. We can break up a 10 into two groups of five or five groups of two; either one of those will work. So, let's do that.

Let's draw ourselves a rectangle. We'll start up here. Here's a rectangle. And let's see, that's five, and we can space to make sure that covers the whole square unit. There we go! So here's our rectangle.

This rectangle covers 1, 2, 3, 4, 5. There's the first row, five. And the second row, five has unit squares 6, 7, 8, 9, and 10. So, here's one perfect answer: a rectangle that has two rows of five square units.

We could have drawn this rectangle anywhere on the grid; it doesn't matter. We could have drawn it down here with two rows of five or right here with two rows of five. Any rectangle covering two rows of five has an area of 10 unit squares.

Similarly, any rectangle covering five rows of two. Let's look and see if we can try to show that. Here we go: here's a rectangle. And this one will cover one, two.

So, we've rows of two and there's five rows. So, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. So again, this rectangle covers 10 square units. So, any rectangle that you can draw on the grid that either covers two rows of five square units or five rows of two square units is a rectangle with an area of 10 square units.

More Articles

View All
A day in a life of someone who is taking a break from med school during Covid in Japan Vlog🇯🇵📸
Hi guys! Today I’m going to be showing you guys what my typical day in Japan looks like. At my grandparents’ house, breakfast is at 7 a.m., so I wake up at 6:50. This is literally me in the morning. My grandpa prepares breakfast for us. I can’t imagine a …
Inductor kickback 2 of 2
So the problem with allowing this spark to happen across here is if this is not a mechanical switch, we can build switches out of electronic devices as well. This is what we use transistors for, and a transistor is a rather small, delicate device. So if …
Internet Safety Course Introduction
Hi everyone. Sal Khan here from Khan Academy, and I just wanted to welcome you to this course on internet safety. Now, you might be saying, “Why should I look at this course? The internet seems like this fun and fabulous place where I can interact with …
Special Investigation: Famous Tiger Temple Accused of Supplying Black Market | National Geographic
This is all being done at night. Pitch black, there are no lights. You see the cars driving into the Tiger Temple and the staff workers that are helping the wildlife traders. In December 2014, at the famed Tiger Temple in Thailand, investigators say a gro…
AP US history DBQ example 3 | The historian's toolkit | US History | Khan Academy
This is the third in a series of videos about answering the document-based question, or DBQ, on the AP US History exam. In the last video, we started taking a look at and analyzing some of the primary documents provided for this exam. So, the first one w…
Crypto Will Go Back Up | Converge 2022
Bitcoin down, Twitter below 20,000. We have a slew of, uh, crypto CEOs that are resigning. Those are the signals right now. It feels pretty bad. Why are you bullish? What are the bullish signs that you’re seeing? [Music] [Applause] [Music] Kevin, you fu…