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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?

Respuesta :

altavistard
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.

Answer:

The answer is 10 ft by 15 ft

Step-by-step 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

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