On a scale drawing, #1/4# inch = #1# foot. What are the dimensions on the scale for room that is 27 feet by 20 feet?

1 Answer
Mar 3, 2018

Answer:

81 in. (6.75 ft.) by 60 in. (5 ft.)

Explanation:

First, convert 27 ft. and 20 ft. to inches to make it easier to work with. This would convert like this:

27 ft. x 12 in. #=# 324 in.
20 ft. x 12 in. #=# 240 in.

  • This also means that the scale converts to 1/4 in. = 12 in.

Now, take your 324 in. and 240 in. and apply them to the scale.

  • For every 12 in. (1 ft.) in the non-scale room dimensions, there will be one 1/4 in. on the scale. That would apply like this:

324 in. (27 ft.) x #1/4# in. #=# 81 in. [or 6.75 ft.]
240 in. (20 ft.) x #1/4# in. #=# 60 in. [or 5 ft.]