Question

Coursesurse HomeOn an architect's blueprint, 1 inch corresponds to 4 feet. Find the length of a wall represented by a line 2inches long on the blueprint.ssignmentsThe length of the wall isft.

Answer 1

into8 ft

Step-by-step explanation

Step 1

Let

`\begin{gathered} 1\text{ inch on print }\rightarrow4\text{ feet on the ground} \\ \text{Also} \\ 1\text{ feet = 12 inches , then} \\ 1\text{ inch on print }\rightarrow4\text{ (12 inches) on the ground} \\ 1\text{ inch on print }\rightarrow48inches\text{ on the ground} \\ \end{gathered}`

so , the scale factor is 1:48

Step 2

to find the length of a wall represented by a line 2 inches use a rule of three.

`\begin{gathered} 1\colon\text{ 48}\rightarrow2\colon x \\ (1)/(48)=(2)/(x) \\ x\cdot1=2\cdot48 \\ x=96 \end{gathered}`

Hence, the length of the wall is 96 inches, to convert that in to inches, dived by 12

`96\text{ inches}\rightarrow(96)/(12)f\exponentialE et=8\text{ feet}`

so, the answer is 8 feet