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Mathematics 21 Online
OpenStudy (anonymous):

A room is 12 feet long and 10.5 feet wide. A scale model of the room is 3.5 feet wide. What is the area of the scale model? 10.3 square feet 14 square feet 36 square feet 122.5 square feet

OpenStudy (benlindquist):

dont u multiply it

OpenStudy (anonymous):

i have no clue

OpenStudy (mathmale):

You need a "conversion factor." If the real-life room is 10.5 feet wide, and the width of the scale model is 3.5 feet, use this info to come up with a scale factor.

OpenStudy (anonymous):

i figured it out its 14 right?

OpenStudy (mathmale):

Hint: 10.5 feet in real life corresponds to 3.5 feet in the model. You'll need to use this info to calculate the length of the model, given that the real life length is 12 feet/ Please show me how you figured it out, and then I'll give you feedback.

OpenStudy (anonymous):

okay um 3.5 goes into 10.5, 3 times

OpenStudy (anonymous):

so that means i had to divide 12 by 3 to get the length of the model, i got 4, and multiplied that by 3.5, to get 14

OpenStudy (mathmale):

Is a scale model usually larger or smaller than the original (real life object)?

OpenStudy (anonymous):

smaller

OpenStudy (mathmale):

right. but according to your calculations, the 12 foot length in real life has become 14 feet in the model. Could that be right?

OpenStudy (anonymous):

no 14 is my answer for the question the length is 4 ft

OpenStudy (mathmale):

I can think of at least 2 ways in which to solve this problem. Let's set up ratios: width ;length model 3.5 feet ?? actual room 10.5 ft 12 ft

OpenStudy (mathmale):

Cross multiply: (3.5 ft)(12 ft) = ??

OpenStudy (anonymous):

the length is 4

OpenStudy (mathmale):

Yes, I agree. Next time, please show how you got your result.

OpenStudy (anonymous):

um ok XD

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