Math Problem Statement

Find the perimeter

Find the perimeter of the figure pictured below.

Solution

The figure in the image is an irregular polygon, with the following side lengths provided:

  • 11.4 m (vertical)
  • 10.6 m (horizontal)
  • 3.8 m (vertical)
  • 3.9 m (horizontal)

To find the perimeter of the figure, we add the lengths of all the sides:

Perimeter=11.4+10.6+3.8+3.9\text{Perimeter} = 11.4 + 10.6 + 3.8 + 3.9

Let me calculate that for you.The perimeter of the figure is 29.7 meters.

Do you want further details or have any questions?

Here are 5 related questions you might find helpful:

  1. How would the perimeter change if one side were doubled?
  2. What is the difference between area and perimeter in figures?
  3. How do you find the perimeter of a more complex irregular shape?
  4. What would happen if one of the sides was missing? How would you solve for it?
  5. How would the perimeter of a rectangle be calculated, compared to this irregular shape?

Tip: Always double-check the units and all side lengths when calculating perimeters of irregular shapes!

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter
Irregular Polygons

Formulas

Perimeter = sum of all side lengths

Theorems

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Suitable Grade Level

Grades 6-8