Question:
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?
Answer:
The actual length of Hector room is 14 foot
Solution:
Given that, On the floor plan, his bedroom is 3 inches wide and [tex]3\frac{1}{2}[/tex] inches long
The scale of floor plan is given as:
[tex]\frac{1}{4} \text{ inch} = 1 \text{ foot }[/tex]
Therefore,
[tex]1 \text{ inch } = 4 \text{ foot}[/tex]
To find: Actual length of floor
From given question,
[tex]length = 3\frac{1}{2} \text{ inches}[/tex]
Converting the mixed fraction to improper fraction,
[tex]length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }[/tex]
Since, 1 inch = 4 foot
[tex]\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }[/tex]
Thus actual length of Hector room is 14 foot
