Question

@kayders1997


The room and the hallway shown in the floor plan below have different dimensions but the same area.

(drawing in comments)

A: write an equation that relates the areas of the rooms.

B: find the value of W

Answer 1

I can't see all that :(

Answer 2

I see 3W and W+ something?

Answer 3

let me draw it again in a different way

Answer 4

Okay

Answer 5

how about that one?

Answer 6

I can see that now :)

Answer 7

Okay so first of all what does ahea mean?

Answer 8

lol area

Answer 9

total space?

Answer 10

But are you adding subtracting multiplying or dividing?

Answer 11

Area = Length x Width

Answer 12

Good so you will be multiplying the rectangle length and width but when it says the rooms are equal what does that mean?

Answer 13

if i could hold the hallway i could smoosh it into the exact same shape as the bedroom

Answer 14

Yeah kinda yeah you could say that, To me it just means the area of the hallway and bedroom are the same so they are going to equal eachother so we need to set it up so let's start with the hallway what is the length?

Answer 15

3w

Answer 16

Yep and what is its width?

Answer 17

w-2

Answer 18

Yes so you will need to multiply 3w(w-2) does that make sense?

Answer 19

\[3w ^{2} - 6\]
like this?

Answer 20

Yes we could do that now we also need to do this to the bedroom too, do you wanna try that and let me know what you get? :)

Answer 21

\[w ^{2} +1\]

Answer 22

Close

Answer 23

Oh wait my bad the other one was close also but not quite right

Answer 24

3w times -2

Answer 25

oh yep