Questions: Find the perimeter of the figure pictured below.

Find the perimeter of the figure pictured below.
Transcript text: Find the perimeter of the figure pictured below.
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Solution

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Solution Steps

Step 1: Identify the sides of the figure

The figure is an L-shaped polygon. The sides are labeled as follows:

  • Vertical side on the left: 11 units
  • Horizontal side on the bottom: 12 units
  • Vertical side on the top right: 3 units
  • Horizontal side on the top right: 2 units
Step 2: Determine the missing sides

To find the perimeter, we need to identify all the sides of the figure. The missing sides are:

  • The vertical side on the right: This is the difference between the longer vertical side (11 units) and the shorter vertical side (3 units), which is \(11 - 3 = 8\) units.
  • The horizontal side on the top: This is the difference between the longer horizontal side (12 units) and the shorter horizontal side (2 units), which is \(12 - 2 = 10\) units.
Step 3: Sum all the sides to find the perimeter

Add all the sides together:

  • Vertical sides: 11 units + 8 units + 3 units
  • Horizontal sides: 12 units + 2 units + 10 units

\[ \text{Perimeter} = 11 + 8 + 3 + 12 + 2 + 10 = 46 \text{ units} \]

Final Answer

The perimeter of the figure is 46 units.

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