\begin{tabular}{l} A landscape architect planned a flower garden in the shape of a parallelogram. If the \\ base and height are multiplied by \( \frac{1}{2} \) to create a new parallelogram, what is the new \\ area? Round to the nearest unit, if necessary. \\ \hline \( 120 \mathrm{ft}^{2} \)\end{tabular}

To find the new area of the parallelogram after scaling both the base and height by \( \frac{1}{2} \), follow these steps: 1. **Original Area Formula:** \[ \text{Area} = \text{base} \times \text{height} \] 2. **Scaled Dimensions:** - New base = \( \frac{1}{2} \times \text{base} \) - New height = \( \frac{1}{2} \times \text{height} \) 3. **New Area Calculation:** \[ \text{New Area} = \left( \frac{1}{2} \times \text{base} \right) \times \left( \frac{1}{2} \times \text{height} \right) = \frac{1}{4} \times (\text{base} \times \text{height}) = \frac{1}{4} \times \text{Original Area} \] 4. **Plug in the Original Area:** \[ \text{New Area} = \frac{1}{4} \times 120 \, \text{ft}^2 = 30 \, \text{ft}^2 \] **Answer:** The new area is \( \boxed{30\ \mathrm{ft}^{2}} \).