Question

please help!

A scale drawing of a living room is shown below. The scale is 1 : 40.

A rectangle is shown. The length of the rectangle is labeled 6 inches. The width of the rectangle is labeled 4 inches.

Show your work to determine the area of the room in square feet.

Answer 1

What is the rectangle that is shown?

Answer 2

thats the image

Answer 3

Ah oki well first I think we gotta figure out the length and width of the actual room, using the ratio 1 : 40 where the scaled down model is 1 and the room is 40.

Answer 4

we can put it like this to try to find out the length:
1:40 = 6:x
from here we can cross multiply like this:
1/40=6/x

Answer 5

do yk how to cross multiply ?

Answer 6

i think

Answer 7

oki ! tell me what u get for 1/40=6/x

Answer 8

remind me how to cross multiple XD

Answer 9

o oki so when we hav the equation 1/40=6/x, we can put it as its cross product by looking at, say, the 1 and seeing that across and down from the 1 (in 1/40) is x (from 6/x), and then across and down from 6 is 40. If you look at it after being written down, it would make an "x" or a cross

Answer 10

and then we would write it out like 1×x=40×6

Answer 11

i hope that made sense >~<
but uh yeah so what do u think it is from there ?

Answer 12

@queenmidnight16

Answer 13

idkkk

Answer 14

i dont remember how to multiple 1 by x

Answer 15

o well it would just make it x, cuz 1x can b simplified to just x

Answer 16

ok so x and 240?

Answer 17

yes ! x=240 ! gj !

Answer 18

is that the answer?

Answer 19

x=240?

Answer 20

that's the length of the actual room, we gotta set up another equation to find out the width
it's the same as the length, but instead of 6 it's 4

Answer 21

ok

Answer 22

mhm ! tell me wut chu get !

Answer 23

soooo its 1xX and 40x4?

Answer 24

mhm

Answer 25

ok

Answer 26

x=160?

Answer 27

correcto

Answer 28

nowall that's left ish to find ze area of ze room using the length and width u figured out

Answer 29

now all*

Answer 30

how

Answer 31

Area = length x width

Answer 32

160x x 240x?

Answer 33

close, ish just 160x240

Answer 34

38400?

Answer 35

mhm

Answer 36

is that all

Answer 37

well ig chu could put it in a sentence at the end, "The area of the room is 38400 ft^2."
hope this helped and is right !!!! blessed b

Answer 38

thank you so much!

Answer 39

and thanks for tolerating me and my dumb mind that shuts down at the end of the day XD