If a line measures 6- $\frac{1}{2}$ inches on a drawing that is made at a scale of $\frac{1}{4}$ " = 1', how long will that line measure when constructed?

Question

Quizplus · Accepted Answer

At a scale of 11 " = 1', this means that 11 inches on the drawing represents 1 foot in reality. 
Therefore, to find the length of the line in reality, we can set up a proportion: 
11 inches on drawing / 1 foot in reality = 6 inches on drawing / x feet in reality 
Solving for x: 
11x = 6 
x = 6/11 
So, the line would measure approximately 0.545 feet in reality. 
To convert this to feet and inches, we can multiply by 12 to get: 
0.545 feet = 6.54 inches 
Therefore, the line would measure approximately 6 feet 6.54 inches when constructed. 
To round this to the nearest foot, we can see that it's closer to 7 feet than 6 feet, so the best choice is B) 26 feet.

If a Line Measures 6- 12\frac{1}{2}21​ Inches on a Drawing That Is Made at a Scale

If a Line Measures 6- $\frac{1}{2}$ Inches on a Drawing That Is Made at a Scale