Question

The dimensions of an office conference room are 12 feet by 24 feet. If the conference room blueprint dimensions are 4 centimeters by 8 centimeters, what is the scale of the blueprint?

1 centimeter = 4 feet
1 centimeter = 3 feet
1 centimeter = 8 feet
1 centimeter = 12 feet

Answer 1

@mathman1988

Answer 2

12 feet by 24 feet is a 1:2 ratio

Answer 3

right

Answer 4

and 4cm by 8cm is also a 1:2 ratio

Answer 5

look at choice #2

Answer 6

Oh yeah they are both 1:2 ratios I didn't see that

Answer 7

Okay

Answer 8

Focus on the 4 cm. If we have to have 4cm lets look at each choice. 1 cm = 4ft. Multiply each side by 4

Answer 9

you get 4cm = 16 feet. is that the correct measurement? Our room is 12 ft not 16 ft. so choice #1 IS WRONG

Answer 10

Choice #2 says 1cm = 3ft. multiply each by 4. we have 4cm = 12 feet

Answer 11

That seems correct!

Answer 12

So the second one is right!

Answer 13

yes. do you understand why?

Answer 14

Yes because the 4 times 3 worked to be the same as the 12ft. Is that correct? I am not sure if I got the meaning of it

Answer 15

yes!!!!! AWESOME!

Answer 16

its all about ratios

Answer 17

Yay! thank you I have another question for you. I'll open another one and ttag you again if that is ok with you.