If a wall on a drawing with a scale of 1/4 equals 1 foot measures 5 1/2 inches, how long is the wall in feet?

To determine the length of the wall in feet based on the given scale, we start by converting the measurement from inches to feet. The scale is 1/4 inch on the drawing equals 1 foot in actual length.

First, convert the wall measurement of 5 1/2 inches into a single fraction or number for easier calculations:

• 5 1/2 inches can be converted to an improper fraction: (5 \times 2 + 1 = 11/2) inches.

Next, we use the scale to find out how many inches represent 1 foot:

• Since 1 foot is represented by 1/4 inch on the drawing, to find out how many feet correspond to the wall's 5 1/2 inches, we can set up a proportion.

Using the scale:

• 1/4 inch = 1 foot

• To find the number of feet for 5 1/2 inches:

[

\text{feet} = \frac{\text{measured inches}}{\text{scale (inches per foot)}} = \frac{11/2 \text{ inches}}{1/4 \text{ inches/foot}}

]