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an architectural drawing lists the scale as 1/4"=1'. if a bedroom measures 2 1/2" by 3 3/4" on the drawing, how large is the bedroom?

User Spazznolo
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2 Answers

4 votes

Answer:

The answer is 10 ft by 15 ft

Explanation:

2 1/2 is also 2 2/4

Since 1/4 = 1

2/4 = 2 feet

Plus the whole number being 2 from 2 2/4 equates to 8 feet

because 2 is the same as 8/4.

2 2/4 = 10 feet

Do the same with 3 3/4 and you get 15 feet total.

Resulting in 10 ft by 15ft

User Duncanportelli
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7.7k points
4 votes
One way to solve this type of problem is to use proportions.

1/4" equals 1 ft
2 1/4" corresponds to how many feet? Call this "x."

Then 1
--
4 1 ft
------------------ = -----------
9
--- x
4

Solve this for x. First, reduce the first set of fractions. That boils down to (1/9).

Equate (1/9) to 1/x. It's obvious that x = 9 (feet).

Use the same method to find the length of the bedroom.



User Daniel Oliveira
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8.0k points