Questions: Unit Exam - Tools of Geometry Find the area. Area of Figure = □ in^2

Solution Steps

The area of a triangle is given by the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]

For the given triangle:

• Base = 16 inches
• Height = 5 inches

\[ \text{Area of } \triangle = \frac{1}{2} \times 16 \times 5 = 40 \, \text{in}^2 \]

The area of a rectangle is given by the formula: \[ \text{Area} = \text{length} \times \text{width} \]

For the given rectangle:

• Length = 16 inches
• Width = 9 inches

\[ \text{Area of } \square = 16 \times 9 = 144 \, \text{in}^2 \]

The total area of the figure is the sum of the areas of the triangle and the rectangle.

\[ \text{Total Area} = \text{Area of } \triangle + \text{Area of } \square \] \[ \text{Total Area} = 40 \, \text{in}^2 + 144 \, \text{in}^2 = 184 \, \text{in}^2 \]

Final Answer