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

Unit Exam - Tools of Geometry

Find the area.

Area of Figure = □ in^2
Transcript text: Unit Exam - Tools of Geometry Find the area. Area of Figure $=$ $\square$ in $^{2}$
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Solution

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Solution Steps

Step 1: Calculate the Area of the Triangle

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}

For the given triangle:

  • Base = 16 inches
  • Height = 5 inches

Area of =12×16×5=40in2 \text{Area of } \triangle = \frac{1}{2} \times 16 \times 5 = 40 \, \text{in}^2

Step 2: Calculate the Area of the Rectangle

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

For the given rectangle:

  • Length = 16 inches
  • Width = 9 inches

Area of =16×9=144in2 \text{Area of } \square = 16 \times 9 = 144 \, \text{in}^2

Step 3: Calculate the Total Area of the Figure

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=40in2+144in2=184in2 \text{Total Area} = 40 \, \text{in}^2 + 144 \, \text{in}^2 = 184 \, \text{in}^2

Final Answer

The area of the figure is 184in2 184 \, \text{in}^2 .

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