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?

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?

• A. 15 feet
• B. 20 feet
• C. 22 feet
• D. 25 feet

Answer: (C)

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

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}}

]