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mrs_skeptik [129]
2 years ago
15

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

Mathematics
1 answer:
Nat2105 [25]2 years ago
6 0

<em><u>Question:</u></em>

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?

<em><u>Answer:</u></em>

The actual length of Hector room is 14 foot

<em><u>Solution:</u></em>

Given that, On the floor plan, his bedroom is 3 inches wide and 3\frac{1}{2} inches long

<em><u>The scale of floor plan is given as:</u></em>

\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

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