Let's solve the problem step by step. ### **Step 1: Identify the shape and its dimensions** The figure is a **right triangle**. The base and height are given as: - **Base = 30 in.** - **Height = 24 in.** --- ### **Step 2: Write the area formula for a triangle** The area \(A\) of a triangle is given by: \[ A = \frac{1}{2} \times \text{base} \times \text{height} \] --- ### **Step 3: Substitute the values** \[ A = \frac{1}{2} \times 30 \times 24 \] --- ### **Step 4: Calculate the area** First, multiply the base and height: \[ 30 \times 24 = 720 \] Now, divide by 2: \[ \frac{720}{2} = 360 \] --- ### **Final Answer** \[ \boxed{360 \text{ in}^2} \] So, the area of the triangle is **360 square inches**.