4. On a scale drawing, \( \frac{1}{4} \) inch represents 1 foot. How long would a line on the drawing have to be to represent a length of \( 3 \frac{1}{2} \) feet?

To find out how long a line on the drawing should be to represent \( 3 \frac{1}{2} \) feet, you'll first want to convert \( 3 \frac{1}{2} \) feet into an improper fraction, which is \( \frac{7}{2} \) feet. Since \( \frac{1}{4} \) inch represents 1 foot, you multiply \( \frac{7}{2} \) by \( \frac{1}{4} \) inch. Hence, the calculation goes: \[ \frac{7}{2} \times \frac{1}{4} = \frac{7}{8} \text{ inches} \] So, a line on the drawing would need to be \( \frac{7}{8} \) inches long to represent \( 3 \frac{1}{2} \) feet! Just remember that when you’re drawing to scale, every little bit counts! If you ever find yourself lost in calculations, sketching a quick diagram can help visualize relationships between measurements. Also, always double-check your conversions, as mixed numbers and fractions can sometimes mislead you if you're not careful. Happy drawing!