Math Problem Statement

What is the perimeter of the given irregular shape?

Solution

The problem shown in the image asks for the perimeter of a given shape.

To find the perimeter of this shape, we need to add together the lengths of all the sides visible in the diagram:

  • From the leftmost point, going clockwise:
    • 3 cm (vertical side)
    • 2 cm (horizontal side)
    • 1 cm (small horizontal side)
    • 5 cm (vertical side)
    • 6 cm (horizontal side)

To find the lengths of the sides not directly labeled (the ones on the right vertical and the top horizontal), you can use the other lengths provided:

  • The right vertical side is the same as the left vertical side (3 cm + 5 cm).
  • The top horizontal side is the difference between 6 cm (the bottom horizontal side) and 2 cm (the lower part of the top horizontal side), which equals 4 cm.

Now, sum all these values to find the perimeter:

Perimeter=3+2+1+5+6+3+5+4=29 cm\text{Perimeter} = 3 + 2 + 1 + 5 + 6 + 3 + 5 + 4 = 29 \text{ cm}

Therefore, the perimeter of the shape is 29 cm.

Would you like more details on this solution or do you have any other questions?

  1. How do you calculate the perimeter of a rectangle?
  2. What is the formula for the perimeter of a regular polygon?
  3. Can you explain how to find the perimeter of an irregular polygon using different methods?
  4. What are the common mistakes to avoid when calculating perimeters?
  5. How can you use perimeter calculations in real life applications?

Tip: When calculating the perimeter of a complex shape, it can be helpful to break it down into smaller segments or shapes that you recognize and know how to handle.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter
Irregular Shapes

Formulas

Perimeter = sum of all sides

Theorems

Properties of Perimeter in Irregular Polygons

Suitable Grade Level

Grades 5-6