The base and height of t triangular clothes hanger are \( \frac{35}{2} \) inches and \( \frac{46}{5} \) inch 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, you can use the formula for the area of a triangle, which is: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] Substituting in the given values: - Base = \( \frac{35}{2} \) inches - Height = \( \frac{46}{5} \) inches Now, plug these values into the formula: \[ \text{Area} = \frac{1}{2} \times \frac{35}{2} \times \frac{46}{5} \] Calculating 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, apply the \(\frac{1}{2}\): \[ \text{Area} = \frac{1}{2} \times 161 = 80.5 \text{ square inches} \] Thus, the area of the triangular clothes hanger is \( 80.5 \) square inches.