The area of a triangle is given by the formula: Area=12×base×height \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} Area=21×base×height
For the given triangle:
Area of △=12×16×5=40 in2 \text{Area of } \triangle = \frac{1}{2} \times 16 \times 5 = 40 \, \text{in}^2 Area of △=21×16×5=40in2
The area of a rectangle is given by the formula: Area=length×width \text{Area} = \text{length} \times \text{width} Area=length×width
For the given rectangle:
Area of □=16×9=144 in2 \text{Area of } \square = 16 \times 9 = 144 \, \text{in}^2 Area of □=16×9=144in2
The total area of the figure is the sum of the areas of the triangle and the rectangle.
Total Area=Area of △+Area of □ \text{Total Area} = \text{Area of } \triangle + \text{Area of } \square Total Area=Area of △+Area of □ Total Area=40 in2+144 in2=184 in2 \text{Total Area} = 40 \, \text{in}^2 + 144 \, \text{in}^2 = 184 \, \text{in}^2 Total Area=40in2+144in2=184in2
The area of the figure is 184 in2 184 \, \text{in}^2 184in2.
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