Math Problem Statement

Calculate the perimeter of the field shown below. Give your answer in metres (m).

Solution

To calculate the perimeter of the field, we need to sum up the lengths of all its sides.

Looking at the diagram, the side lengths are:

  • 9 m
  • 11 m
  • 6 m
  • 7 m
  • 2 m
  • 17 m

Now, we can add these values together:

Perimeter=9+11+6+7+2+17=52m\text{Perimeter} = 9 + 11 + 6 + 7 + 2 + 17 = 52 \, \text{m}

The perimeter of the field is 52 meters.

Would you like further details or have any questions about this?

Here are five related questions:

  1. What is the formula for calculating the perimeter of other polygon shapes?
  2. How do you calculate the area of this irregular field?
  3. Can you explain how to calculate the perimeter of regular polygons?
  4. How do side lengths affect the overall perimeter?
  5. What are the units typically used when calculating perimeter?

Tip: When calculating perimeters, always ensure all side lengths are in the same unit of measurement!

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter
Polygons

Formulas

Perimeter = sum of all side lengths

Theorems

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Suitable Grade Level

Grades 6-8