Questions: A blueprint has a scale of 1/4 in = 1 ft. On the blueprint, a wall is drawn 3 1/4 in long. What is the actual measure of the wall? The actual measure of the wall is ft

Solution Steps

To find the actual measure of the wall, we need to use the scale given in the blueprint. The scale is \( \frac{1}{4} \) inch equals 1 foot. First, convert the length of the wall on the blueprint from a mixed number to an improper fraction or a decimal. Then, multiply this length by the scale factor to find the actual length in feet.

The length of the wall on the blueprint is given as \( 3 \frac{1}{4} \) inches. We convert this mixed number to a decimal: \[ 3 \frac{1}{4} = 3 + \frac{1}{4} = 3 + 0.25 = 3.25 \text{ inches} \]

The scale of the blueprint is \( \frac{1}{4} \) inch = 1 foot. To find the actual length of the wall in feet, we use the formula: \[ \text{Actual Length} = \frac{\text{Blueprint Length}}{\text{Scale}} = \frac{3.25 \text{ inches}}{\frac{1}{4} \text{ inch/foot}} \] Calculating this gives: \[ \text{Actual Length} = 3.25 \times 4 = 13 \text{ feet} \]

Final Answer