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 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(1)/(2)` inches long

The scale of floor plan is given as:

`(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(1)/(2) \text{ inches}`

Converting the mixed fraction to improper fraction,

`length = (2 * 3 + 1)/(2) = (7)/(2) \text{ inches }`

Since, 1 inch = 4 foot

`(7)/(2) \text{ inches } = (7)/(2) * 4 \text{ foot } = 14 \text{ foot }`

Thus actual length of Hector room is 14 foot