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On an architect’s blueprint, 1 inch corresponds to 4 feet. How long is a wall represented

On an architect’s blueprint, 1 inch corresponds to 4 feet. How long is a wall represented-example-1
User Long Phan
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1 Answer

13 votes
13 votes

Answer:

Step-by-step explanation:

Given:

1 inch corresponds to 4 feet

4 and 1/4 inches = ?

We can determine the value for 4 and 1/4 inch line on the blueprint by using ratio. We let x be the value in feet:


\frac{x}{4(1)/(4)\text{ inches}}=\frac{4\text{ f}eet}{1\text{ inch}}

Simplify and rearrange


\begin{gathered} \frac{x}{4(1)/(4)\text{ inches}}=\frac{4\text{ f}eet}{1\text{ inch}} \\ (x)/((17)/(4))=(4)/(1) \\ x=(4((17)/(4)))/(1) \\ x=(17)/(1) \\ x=17\text{ f}eet \end{gathered}

Therefore, 4 and 1/4 inch line corresponds to 17 feet.

User Ravish Chawla
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