Question

The perimeter of Dana's rectangular garden is 61 feet. The length of her garden is 5 feet more than twice the width

Create an equation or equations that can be used to determine the length and width of the garden.

Be sure to define your variables.

What is the length and width of the garden? Show all your work.

Enter your equation(s), definition of variables, answers, and work in the box provided.

Answer 1

if we let L = length and W = width

how do you think we can write: "The length of her garden is 5 feet more than twice the width" in terms of variables?

Answer 2

yes

Answer 3

I am not asking a yes or no question, I am asking for your opinion

Answer 4

well for my opinion i think it should be just that, the best way to write it

Answer 5

Again, I am asking, how can we write ""The length of her garden is 5 feet more than twice the width" in terms of variables?" using our symbols L and W ?

Answer 6

how can we write "twice the width" using numbers and variables instead of words?

Answer 7

to write twice the width is by saying the length of a rectangle is twice the width. so therefore The number of square units in it's area is four times the number of units in it's perimeter

Answer 8

ok, but how would we write that using Math, not words?

Answer 9

hint: "twice the width" means multiply width by 2

how can we write this using VARIABLES and NUMBERS not words?

Answer 10

if W = width, then what is "twice the width"?

Answer 11

The length of a rectangle

Answer 12

hint: "twice" means "multiply by 2"

Answer 13

how can we say "twice the width" using MATH not english?

Answer 14

by multiplying by 2

Answer 15

if W is width, then how can we express "multiplying width by 2" WITHOUT using the words "multiply" or "width"

Answer 16

area of a rectangle

Answer 17

hint: 2 multiplied by x is 2x

2 multiplied by W is...?

Answer 18

2x

Answer 19

no

Answer 20

2 multiplied by W is...?

Answer 21

2

Answer 22

follow the pattern. Think slowly and carefully before you answer.

2 multiplied by A is 2A
2 multiplied by T is 2T
2 multiplied by smiley face is 2smileyface
2 multiplied by W is ___

fill in the blank.

Answer 23

twice the width" means multiply width by 2

Answer 24

notice the first line?

2 multiplied by A is 2A

notice how we took 2 and A and wrote them together to multiply them? 2A

2 multiplied by T is 2T

notice how we took 2 and T and put them together to get 2T?

so what do you think we should write if we want

2 multiplied by W?

Answer 25

2W

Answer 26

i'm sorry i'm causing you to be stressed but i just need help on my work

Answer 27

the answer is 2W

Answer 28

i didn't get it at first because my brain was at somewhere but i got it

Answer 29

Ok, I'm back

Answer 30

It says that the garden is "five feet more than twice the length"

So if width = 2W how can we express length in terms of math? Not words, just variables and numbers

Answer 31

Hint: "5 more than" implies + 5 (Addition)

Answer 32

w + h =
(w+h) - h = - h
w = - h

w =
w = =

Answer 33

Where are you getting h? We only have two variables, w and L

Answer 34

i mean with l but it was malfunction with the keyboard

Answer 35

"Five more than twice the width" means "5 + 2W"

Answer 36

Now we use W and L to write an expression for perimeter

Answer 37

Perimeter = 2L + 2W

Since L = 2W + 5 we can replace L with "2W + 5" into P

Answer 38

Perimeter = 2(W+5) + 2W = 61

Solve for W

Answer 39

that's it ?

Answer 40

You need to solve that for W

Answer 41

w = 51/4

Answer 42

Oh whoops made a typo

Answer 43

2(2W+ 5) + 2W = 61

Answer 44

Solve that for W

Answer 45

W = 17/2

Answer 46

Good now find L if L = 2W + 5

Answer 47

l=2w+5

Answer 48

Take the value you got for W and substitute that into 2W + 5

Answer 49

If W = 17/2 then 2W + 5 =?

Answer 50

the answers for substituting them is l = 22 and w = 17/2

Answer 51

second question is 2w + 5

Answer 52

Sure

Answer 53

what else ?

Answer 54

That's it

Answer 55

Just write down what we have done so far and organize the work