Respuesta :
A scale drawing is a drawing of a real object with the actual sizes accurately enlarged or reduced by a given factor, known as the scale of the drawing
The correct values are:
The actual dimensions (of the room) would be: [tex]6\frac{2}{3}[/tex] feet by: 9 feet
The area of the room would be 60 square feet
The reason the above values are correct is as follows;
The given parameters are;
The scale of the floor plan is 32 inches : 1 inch, which reads;
32 inches in actual dimension is equivalent to 1 inch in the drawing
The dimensions of the room in the drawing is 2 1/2 inches by 3 3/8 inches
The number of decimal places of the answer is the nearest .01 inches:
Required:
The actual dimensions of the room in the question
Method:
The dimensions of the room is given by multiplying the given drawing dimensions by 32 inches, as follows;
Solution:
The actual dimensions of the room is given as follows;
[tex]Actual \ Room \ dimensions: \ 2\frac{1}{2} \ inches \times 32 \ by \ 3\frac{3}{8} \ inches \times 32[/tex]
Where;
[tex]2\frac{1}{2} = \dfrac{5}{2}[/tex], and [tex]3\frac{3}{8} =\dfrac{27}{8}[/tex]
Which gives;
[tex]\dfrac{5}{2} \ inches \times 32 = 80 \ inches \ by \ \dfrac{27}{8} \times 32 = 108 \ inches[/tex]
However;
80 inches = [tex]6\frac{2}{3}[/tex] feet
108 inches = 9 feet
Therefore;
The actual dimensions (of the room) would be: [tex]6\frac{2}{3}[/tex] feet by: 9 feet
The area of the room, A = [tex]6\frac{2}{3}[/tex] feet × 9 feet = 60 square feet
Therefore;
The area of the room would be 60 square feet
Learn more about scale drawing here:
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