Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
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:
https://brainly.com/question/20385581
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.
