1. **State the problem:** We have a scale drawing of a classroom with dimensions 9.6 cm by 7.2 cm, drawn at a scale of 1 : 75. We need to find the actual dimensions of the classroom in meters. 2. **Understand the scale:** The scale 1 : 75 means that 1 cm on the drawing represents 75 cm in real life. 3. **Calculate actual dimensions in centimeters:** - Actual length = Drawing length $ \times $ Scale factor = $9.6 \times 75$ - Actual width = Drawing width $ \times $ Scale factor = $7.2 \times 75$ 4. **Perform the multiplication:** $$ \text{Length} = 9.6 \times 75 = 720 \text{ cm} $$ $$ \text{Width} = 7.2 \times 75 = 540 \text{ cm} $$ 5. **Convert centimeters to meters:** Since 100 cm = 1 m, $$ \text{Length} = \frac{720}{100} = 7.2 \text{ m} $$ $$ \text{Width} = \frac{540}{100} = 5.4 \text{ m} $$ 6. **Final answer:** The actual dimensions of the classroom are $7.2$ meters by $5.4$ meters.