Question

Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3

Answer 1

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 $3\frac{1}{2}$ inches long

The scale of floor plan is given as:

$\frac{1}{4} \text{ inch} = 1 \text{ foot }$

Therefore,

$1 \text{ inch } = 4 \text{ foot}$

To find: Actual length of floor

From given question,

$length = 3\frac{1}{2} \text{ inches}$

Converting the mixed fraction to improper fraction,

$length = \frac{2 \times 3 + 1}{2} = \frac{7}{2} \text{ inches }$

Since, 1 inch = 4 foot

$\frac{7}{2} \text{ inches } = \frac{7}{2} \times 4 \text{ foot } = 14 \text{ foot }$

Thus actual length of Hector room is 14 foot