Solve for actual dimension and room area

Question

A floor plan has a
44
: 1 scale. On the drawing, one of the rooms measures
2
1
2
" by
1
3
4
".
Show answers to the nearest .01

The actual dimensions would be:


The area of the room would be :

Answer 1

Does this say:  44:1  with the drawing having a room that is 21/2  (2.5) "  by  13/4 (1.75) "

 

So set up a proportion

 

44      x     (actual)

---=----     ----------

 1     2.5    (drawing)

 

actual      44         y

------- = ----- = --------

drawing    1          1.75

 

 

so x = 44(2.5) = 110.00 

and y = 44(1.75) = 77.00

 

Actual dimensions:  110 inches x 77 inches = 9.17 feet x 6.42 feet

Area = (110)(77) = 8,470 square inches = 58.82 square feet