Question

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

Answer 1

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.