The width of the pond in real life is 1.6 m . Liam has measured the width of the pond on the scale drawing to be 3.6 cm and the length of the garden on the scale drawing to be 27 cm . Calculate the length of the garden, \( x \).

To calculate the length of the garden \( x \), we need to determine the scale of the drawing. The width of the pond in real life is 1.6 m, which is equivalent to 160 cm. The width on the drawing is 3.6 cm. First, we find the scale: \[ \text{Scale} = \frac{\text{Real Width}}{\text{Drawing Width}} = \frac{160 \text{ cm}}{3.6 \text{ cm}} \approx 44.44. \] Now, we can apply this scale to find the real-world length of the garden using the drawn length of 27 cm: \[ \text{Real Length} = \text{Scale} \times \text{Drawing Length} = 44.44 \times 27 \text{ cm} \approx 1200 \text{ cm} = 12 \text{ m}. \] Thus, the length of the garden \( x \) is 12 m.