The given image shows an L-shaped figure, where the lengths of its sides are:

• Vertical sides: 9.1 m and 3.3 m
• Horizontal sides: 11.9 m and 4 m

Perimeter Calculation:

The perimeter is the total length around the figure. To find it, we sum all the outer edges:

$\text{Perimeter} = 9.1 \, \text{m} + 3.3 \, \text{m} + 4 \, \text{m} + 11.9 \, \text{m} + (9.1 - 3.3) \, \text{m} + (11.9 - 4) \, \text{m}$

Now calculating the missing segments:

$(9.1 - 3.3) \, \text{m} = 5.8 \, \text{m}$ $(11.9 - 4) \, \text{m} = 7.9 \, \text{m}$

Adding all these up:

$\text{Perimeter} = 9.1 + 3.3 + 4 + 11.9 + 5.8 + 7.9 = 42 \, \text{m}$

Area Calculation:

We can divide the L-shaped figure into two rectangles:

1. One rectangle with dimensions 9.1 m by 4 m.
2. Another rectangle with dimensions 7.9 m by 3.3 m.

The area of each rectangle is calculated as follows:

$\text{Area of rectangle 1} = 9.1 \times 4 = 36.4 \, \text{m}^2$ $\text{Area of rectangle 2} = 7.9 \times 3.3 = 26.07 \, \text{m}^2$

Adding these areas together:

$\text{Total Area} = 36.4 + 26.07 = 62.47 \, \text{m}^2$

Final Answers:

• Perimeter: 42 m
• Area: 62.47 m²

Would you like further clarification on any part of the process?

Here are some related questions you might find helpful:

1. How would the perimeter change if one of the sides were extended?
2. Can the L-shaped figure be decomposed into other geometric shapes?
3. How would you calculate the area of an irregular shape?
4. How does the perimeter differ from the area in terms of physical meaning?
5. Can the area formula be simplified for similar L-shaped figures?

Tip: Always ensure all sides of a figure are accounted for in perimeter calculations to avoid missing segments.