Question

A rectangular pool has a length that is 13 meters longer than its width. Its perimeter is 74 meters. What is the width of this pool? Must include the unit of measurement in your answer.

Answer 1

I think your equation is 74 = (13+x)x

Answer 2

I disagree

Answer 3

Do you know the formula for perimeter?

Perimeter = 2 * (Length + width)

The length is 13 meters longer than the width

If we call the 'width' as 'x'
How would you write the length?

It's 13 longer than the width

Answer 4

longer than just means addition

so how would you write that in terms of x and 13

hint: it's addition

Answer 5

I kinda forgot to include the '*2' part...

Answer 6

and adding the width and length

Answer 7

so since i'm adding both of it my equation would look like: 74 = 2(13l + w) ?

Answer 8

no

Answer 9

;-;

Answer 10

the length is not 13 TIMES the width

it's 13 MORE than the width

so if you want to call your width 'w'
how would you describe the length in terms of the width?

Answer 11

It is sorta like this: 74 = ((13+x) + x)2

Answer 12

74 = 2(13 + w) ?? i have no idea

Answer 13

look

let's say the width is 2

if the length is 13 MORE THAN the width

that means the length is 13 + 2

so instead of saying the width is 2, let's say the width is a variable `w`

then what is the length?

Answer 14

no no- the formula for Perimeter is: length + width

Width: length - 13

Perimeter is 74 meters:

2(l + w) = 74

l + w = 37

Answer 15

15? bc i added

Answer 16

eh?

Answer 17

13+x = length is 13 MORE THAN the width = length
x = width

Answer 18

yes but now instead of '2'

imagine it's a w

can you add 13 + w?

you can't until you know what the value of 'w' is

so you just write that the length is 13 + w

Answer 19

lmaoo no e.e

Answer 20

um.. ;-;

Answer 21

do you know what a variable is?

Answer 22

have you ever seen questions using 'x'

and you solve for 'x'

Answer 23

um yeah duh e.e

Answer 24

so essentially, we have TWO variables in this question

LENGTH
and
WIDTH

with variables, you can use any letter to represent it

so L for Length
and W for Width

Answer 25

yeahhh..

Answer 26

we only have ONE equation though

Perimeter = 2 * (Length + Width)

when you have ONE equation, you can only solve for ONE variable

so that means you have to write the equation all in ONE variable

so when they tell you that the length is 13 more than the width

that means

Length equals to whatever the width is but 13 MORE

so Length = Width + 13

does that make sense so far?

Answer 27

okay, you didn't get it

so you understand the formula right?

perimeter = 2 *(length + width)

perimeter is basically adding all the sides up

and in a rectangle, you have four sides

Answer 28

the perimeter is going to be equal to

length + length + width + width

does that much make sense?

Answer 29

no dude i told u i understood it lol

Answer 30

https://www.desmos.com/calculator/gqkj8vfggu

Answer 31

oh, it sounded sarcastic lol

Answer 32

oh sorry .,.

Answer 33

uh- sorry -

Formula for Perimeter is: \[2(W) + 2(L)] or \[length + length + width + width\]

Width: length - 13

Perimeter is 74 meters:

2(l + w) = 74

So we know that:.

- 13 meters LONGER than the width

- Perimeter is 74

13m + the width or 13m + w

Now, the perimeter equation would be:

2(w) + 2 (w + 13 m) > 2(w) + 2(w) + 2(13m) ⇒ 4(w) + 26m = 74 m.

One variable left o-0 subtract 26 from both sides

4(w) which would equal 48m

now you have to divide 4 from both sides to find your width

width = 12 meters o-o

lynn does that make sense? o-0

Answer 34

so now your question says

perimeter is 74

perimeter = 2 * (length + width)

replace perimeter with 74

74 = 2*(length + width)

if you want to simplify it, you can just divide by 2 on both sides

Answer 35

but then you still won't be able to calculate the length of the width

you have to use the other piece of information they gave you
length is 13 meters longer than the width

so if the width was 2, the length would be 13 + 2
if the width was 100, the length would be 13 + 100
and so on

so if the length is equal to the WIDTH + 13

then you can replace length with `width + 13`

Answer 36

so

74 = 2 * (length + width)

you can replace `length` with `width + 13`

and simplify it

think of the `width` as `x`

74 = 2 * (x+13 + x)

Answer 37

ohh i see
then does that mean I have to distribute?

Answer 38

you can, or you can first just divide the 2

if you divide by 2, you get

74/2 = (x+13 +x)

since the 2 and 2 would cancel out on the right side

Answer 39

oh there's 2 2x's
so i can subtract one of them to cancel it out the be left with
74/2 = 13?? uh

Answer 40

we're not subtracting

we're adding

x + 13 + x


what is an apple + an apple
how many apples do you have?

Answer 41

also what is 74/2

just divide 74 by 2

Answer 42

i got 37 but is that it?

Answer 43

no

we had

74/2 = (x+13 +x)

you said that 74/2 = 37

so now we have

37 = x + 13 + x

we need to solve until we get x = ??

Answer 44

so do i subtract the 13 to 37 and add the 2 x's to make 2x ?

Answer 45

so 37-13 = 2x?

Answer 46

yup!

Answer 47

YEE

Answer 48

Good good!!

and what is 37 -13 equal to

Answer 49

then divide the left half by 2 to get x

Answer 50

(I timed that bad)

Answer 51

now we have

24 = 2x

so to solve for 'x' which is the width, you just divide both sides by 2

so x = 24/2

which is equal to what?

Answer 52

12 :0

Answer 53

Good! And what would the units be?

Feet? Meters? Yards? Miles?

Answer 54

mEtErS-?

Answer 55

You got it!

Answer 56

YEEE I feel so accomplished thxx :D

Answer 57

you're welcome :)