Question

A floor plan is given for the first floor of a new house. One inch represents 10 feet. If the walk-in closet is 2/5 in. by 2/3 in. on the floor plan, what are the actual dimensions? (Round to the nearest hundredth)

Answer 1

if 1 inch is the same as 10 feet, then the ratio is: 1:10

Answer 2

then seeing as the walk-in closet is 2/5 in. by 2/3 in. then use this ration to find the dimension, so:
\[\frac{ 1 }{ 10 }=\frac{ { 2/5 } }{ x }\]
solve for x, and do the same for the other length

Answer 3

1 inch : 10 ft


(2/5)*1 inch : (2/5)*10 ft ... multiply both parts by 2/5


2/5 inch : 20/5 ft


2/5 inch : 4 ft


Do the same for the other dimension.

Answer 4

Do i use cross multiplication

Answer 5

yes

Answer 6

so 4 is the first answer

Answer 7

2/5 inches on the map corresponds to 4 feet, yes

Answer 8

yes

Answer 9

just need to find out what 2/3 inches corresponds to

Answer 10

I need some help with the 2/3 part

Answer 11

if you use the method I used, then you would start with this

1 inch : 10 ft

and multiply both parts by 2/3

Answer 12

well for the other one i turned 2/5 into .4 so it would be easier for me to multiply

Answer 13

you can do that

but keep in mind that 2/3 = 0.66667 so you kinda lose some info about the number 2/3

Answer 14

for the second number would it be 6.67?

Answer 15

yep, which is 20/3 if you chose to keep everything as fractions

Answer 16

but 6.67 feet is probably easier to visualize

Answer 17

TY!!!

Answer 18

np