Questions: On a 1/5 scale drawing of a car, one part is 8 inches long. How long will the actual car part be? 1/5 inch 8/5 inches 5 inches 40 inches

Solution Steps

To find the actual length of the car part, we need to scale up the length from the drawing by the inverse of the scale factor. Since the drawing is at a \(\frac{1}{5}\) scale, the actual length will be 5 times the length on the drawing.

The scale of the drawing is given as \( \frac{1}{5} \). This means that 1 inch on the drawing represents 5 inches in reality.

To find the actual length of the car part, we use the formula: \[ \text{Actual Length} = \text{Drawing Length} \div \text{Scale Factor} \] Substituting the values: \[ \text{Actual Length} = 8 \div \left(\frac{1}{5}\right) = 8 \times 5 = 40 \]

Final Answer