Question

Sally painted a picture that has an area of 480 square inches. the length of the painting is 1 1/5 its width. Which could be the dimentions of the painting?

Answer 1

Let the width of the painting be w. This makes the length of the painting (6/5)w

Answer 2

l*w = A. Knowing this, you should be able to plug in the values to solve for w.

Answer 3

could you please just go step by step from the very beginning please usually this really helps me

Answer 4

I... am?

Answer 5

The width of the painting is w. Since the length of the painting is 1 1/5 of the width, that means that the length is (6/5)w.

Answer 6

As l = (6/5)w, then l*w = (6/5)w*w = A

Answer 7

A is 480

Answer 8

This means that (6w^2)/5 = 480

Answer 9

Solving for w gives us 20

Answer 10

As l = (6/5)w, l = 24

Answer 11

too fast sorry trying to think about what your telling me sorry not good at math

Answer 12

What part do you not understand?

Answer 13

all of it I guess but, I am trying to look over everything you told me to work this out like I know that the area is 480 sq in. and that the width is 1 1/5 but, I don't know how to work this out.

Answer 14

The width is not 1 1/5. I have no idea where you got that from.

Answer 15

The length is 1 1/5, or 6/5, of the width.

Answer 16

it is part of the question.

Answer 17

The question says that the length is 1 1/5 of its width.

Answer 18

are you converting 1 1/5 into an improper fraction? 6/5?

Answer 19

Yes. You can't do math with mixed numbers.

Answer 20

okay so after i convert the mixed fraction what do i do next?

Answer 21

Do you understand that the width is not 6/5?

Answer 22

no but is it the length?

Answer 23

No. Do you understand the phrase "the length is 6/5 of the painting's width"?

Answer 24

oh yes sorry now what?

Answer 25

Let the width = w and the length = l. Since the length is 6/5 of the painting's width, then l = (6/5)w. You with me so far?

Answer 26

yes

Answer 27

l*w = A. If l = (6/5)w, then (6/5)w*w = A

Answer 28

This is equal to:
(6w^2)/5 = A

Answer 29

\If we plug in the value of 480 for A, then can you solve for w?

Answer 30

yes

Answer 31

Once you solve for w, you can plug in that value back into the equation l= (6/5)w to get l. Now you have all the answers. :)

Answer 32

no i don't still kind of lost just don't understand the last part where we plug all the numbers in sorry

Answer 33

Do you understand that (6w^2)/5 = 480?

Answer 34

yes

Answer 35

So then, 6w^2 = 2400
w^2 = 400
w = 20

Answer 36

Wait is it 12 in. by 40 in. I think I got it

Answer 37

...

Answer 38

How did you get 12?

Answer 39

here are the options: 20 by 24, 12 by 40, 16 by 30, and 15 by 32

Answer 40

Yes, the answer is the first one.

Answer 41

Not 12 by 40.

Answer 42

ok still thinking hold on

Answer 43

where did the 2400 come from and also where did the 400 come from?

Answer 44

480 x 5 = 2400

Answer 45

2400/6 = 400

Answer 46

Simple algebra, that's all.

Answer 47

OK Thank you! :)

Answer 48

np

Answer 49

how do we know when to multiply and divide? for example 480*5 and 480/6?