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## Basic geometry and measurement

### Course: Basic geometry and measurement > Unit 1

Lesson 10: Area versus perimeter# Area & perimeter word problem: dog pen

Sal figures out the width of a dog pen. Created by Sal Khan.

## Want to join the conversation?

- How would you figure the area of a pentagon?(79 votes)
- you would find it by timeing all the sides and you will get your answer like you wanted.(2 votes)

- hey i need votes plz vote i will vote whoever votes me.(24 votes)
- Aaand that's what you get for not specifying which kind of vote! Seriously though, it's cringe to beg for upvotes. Especially on an otherwise blank comment that isn't even relevant to the video. You know, the GEOMETRY LESSON that this is the comment section for? If you want upvotes, post something that actually deserves them by virtue of being a legitimately commendable addition to the topic. Goodbye and have a nice day!(3 votes)

- Lisa built a rectangular flower garden that is 4 feet wide and has a perimeter of 26 feet.(12 votes)
- First, you multiply the width by 2. The product is 8. Next, you subtract 8 from the perimeter which is 26, and the difference is 18. Afterwards, 18/2 = 9. This means that 9 is the length. If you want to figure out the area, just multiply 4 and 9, and the product is 36 feet squared.(15 votes)

- I need a badge so plz vote(20 votes)
- Please vote

I need badges(19 votes)- Aaand that's what you get for not specifying which kind of vote! Seriously though, it's cringe to beg for upvotes. Especially on an otherwise blank comment that isn't even relevant to the video. You know, the GEOMETRY LESSON that this is the comment section for? If you want upvotes, post something that actually deserves them by virtue of being a legitimately commendable addition to the topic. Goodbye and have a nice day! (Good luck with the badges BTW.)(1 vote)

- How to calculate depth?(11 votes)
- Depth is not something that you would calculate so much as you would just measure it. You would need a starting place - something like sea level (the surface of the sea), then you would just measure down to the bottom to find depth.(15 votes)

- can someone vote this? im tryna get a badge(17 votes)
- Is there another way of doing this?

For example, what I learned was 78/2 and then take that answer and subtract by the one length that the problem gives you, because the formula that I learned was 2(L+W).

And also, which is the**fastest and easiest**way of doing this??(14 votes)- there is definitely many ways to solve the problem. the way you mentioned is one of them.(6 votes)

- *What if they don't give you the length? And they just give you the area and height?*(14 votes)
- then if it was a square you could write the some on all the sides.(3 votes)

- may i get some votes me need badges to flex(16 votes)

## Video transcript

Mike built a rectangular
dog pen that is 21 feet long and has a perimeter of 78 feet. What is the width
of Mike's dog pen? So let's draw what
it might look like. So it might look
something like this. I'll do my best to draw it, a
rectangle or potential dog pen. So let's say that this is
the dog pen right over here. And they give us its length. Its length is 21 feet. So this distance right
over here is 21 feet. And of course, if that
distance is 21 feet, this distance is also
going to be 21 feet. Now, they also tell us that
the perimeter is 78 feet. So the perimeter is 78 feet. So we need to figure
out the width. And the width would be this
length-- or this width, I should say-- this
width, which is going to be the same thing as
that width right over here. So let's think about. And we know how we
figure out the perimeter. If we added this
distance, 21 feet, to this distance, the width,
plus 21 feet to the width again, we're going
to get to 78 feet. So one way to back into
what the width is is to say, well, look if we sum up
all of these lengths, we're going to get 28 feet. So let's at least subtract these
two orange lengths, the two 21 feet, from the 78 feet. And then we figure out how
much length essentially these two widths
have to make up. So let's subtract. Let's do 78 minus 21 minus 21. And what's that
going to be equal to? So that's 78 minus 42. And 78 minus 42-- I don't want
to make a careless mistake-- 78 minus 42 is going
to get me to 36. So this is equal to 36. And let's remind
ourselves what 36 feet is. That's the total length-- or
I should say the total width-- if we were to take the
width down here and add it to the width up here. Now, we know something else. These are the exact same
width, that this distance is the same as this distance. And if we add them
together, we get to 36. So what are two
distances, or what are two numbers that I can
add together to get to 36? Well, we know that 18
plus 18 is equal to 36. So this one down
here must be 18. And this one up here
must also be 18. And we can verify that. Try adding all of
these up together. You add the two widths. You get 18 plus 18. And you add the two
lengths, plus 21 plus 21. And you are left with 36, which
is exactly what we got here. This is what we needed the two
widths to add up to-- plus 42. Which is, of course,
equal to-- 36 plus 42 is equal to 78,
which is the perimeter.