Math Problem Statement

Find the perimeter of the given figure.

Solution

To find the perimeter of the given figure, we need to add up the lengths of all the outer sides.

Let's break it down based on the measurements provided:

  1. Starting from the bottom left and moving clockwise:

    • Bottom: 1 cm+3 cm+8 cm=12 cm1 \text{ cm} + 3 \text{ cm} + 8 \text{ cm} = 12 \text{ cm}
  2. Right side:

    • Bottom part: 3 cm3 \text{ cm}
    • Top part: 5 cm5 \text{ cm}
    • Total right side: 3 cm+5 cm=8 cm3 \text{ cm} + 5 \text{ cm} = 8 \text{ cm}
  3. Top side:

    • 6 cm6 \text{ cm}
  4. Left side:

    • Bottom part: 4 cm4 \text{ cm}
    • Middle part: 2 cm2 \text{ cm}
    • Top part: 3 cm3 \text{ cm}
    • Total left side: 4 cm+2 cm+3 cm=9 cm4 \text{ cm} + 2 \text{ cm} + 3 \text{ cm} = 9 \text{ cm}

Now, sum all these lengths:

12 cm+8 cm+6 cm+9 cm=35 cm12 \text{ cm} + 8 \text{ cm} + 6 \text{ cm} + 9 \text{ cm} = 35 \text{ cm}

So, the perimeter of the figure is 35 cm.

Would you like more details or have any questions?

Here are some related questions you might find useful:

  1. How do you calculate the area of irregular shapes?
  2. What is the difference between perimeter and area?
  3. How can perimeter calculations be useful in real-life situations?
  4. What are the units used for measuring perimeter and area?
  5. How does changing the shape affect the perimeter if the area remains constant?

Tip: For complex shapes, break them down into smaller, simpler parts to make calculations easier!

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter Calculation

Formulas

Perimeter = Sum of all outer sides

Theorems

Addition of line segments

Suitable Grade Level

Grades 5-7