Questions: Measurement Area of a piecewise rectangular figure Find the area of the figure. (Sides meet at right angles.) cm

Measurement Area of a piecewise rectangular figure Find the area of the figure. (Sides meet at right angles.) cm
Transcript text: Measurement Area of a piecewise rectangular figure Find the area of the figure. (Sides meet at right angles.) $\square$ cm
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Solution

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Solution Steps

Step 1: Identify the overall shape and dimensions

The given figure is a piecewise rectangular shape. We can divide it into three smaller rectangles to simplify the area calculation.

Step 2: Divide the figure into smaller rectangles
  • Rectangle 1: The top part of the figure.
  • Rectangle 2: The left bottom part of the figure.
  • Rectangle 3: The right bottom part of the figure.
Step 3: Calculate the area of each rectangle

  • Rectangle 1:

    • Dimensions: 10 cm (width) x 5 cm (height)
    • Area = 10 cm * 5 cm = 50 cm²

  • Rectangle 2:

    • Dimensions: 3 cm (width) x 5 cm (height)
    • Area = 3 cm * 5 cm = 15 cm²

  • Rectangle 3:

    • Dimensions: 3 cm (width) x 5 cm (height)
    • Area = 3 cm * 5 cm = 15 cm²
Step 4: Sum the areas of the smaller rectangles
  • Total Area = Area of Rectangle 1 + Area of Rectangle 2 + Area of Rectangle 3
  • Total Area = 50 cm² + 15 cm² + 15 cm² = 80 cm²

Final Answer

The area of the piecewise rectangular figure is 80 cm².

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