Questions: Find the perimeter of the figure pictured below.

Solution Steps

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

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.

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