The base and height of a triangular clothes hanger are \( \frac{35}{2} \) inches and \( \frac{46}{5} \) inches respectively. Determine the area of the hanger. \[ \begin{array}{l}\text { Find the area of } \\ \text { this triangle. Use } \\ \text { the formula and } \\ \text { include units! }\end{array} \]

To find the area of the triangular clothes hanger, we can use the formula for the area of a triangle, which is given by: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] Substituting the given values, where the base is \( \frac{35}{2} \) inches and the height is \( \frac{46}{5} \) inches, we get: \[ \text{Area} = \frac{1}{2} \times \frac{35}{2} \times \frac{46}{5} \] Calculating this step-by-step: 1. Multiply the base and height: \[ \frac{35}{2} \times \frac{46}{5} = \frac{35 \times 46}{2 \times 5} = \frac{1610}{10} = 161 \] 2. Now, multiply by \( \frac{1}{2} \): \[ \frac{1}{2} \times 161 = \frac{161}{2} = 80.5 \] So, the area of the hanger is: \[ \text{Area} = 80.5 \text{ square inches} \]