Math Problem Statement

Užrašykite reiškinį pavaizduoto daugiakampio perimetrui apskaičiuoti.

Solution

The task in the image is to write an expression for calculating the perimeter of the polygon shown in the diagram.

Analysis:

The given polygon is a hexagon, and its sides are marked with two variables:

  • Some sides are labeled aa, and others are labeled bb.
  • Each side is clearly defined, and there are 3 sides labeled aa and 3 sides labeled bb.

Solution:

The perimeter of a polygon is the sum of the lengths of all its sides. In this case: Perimeter=a+a+a+b+b+b=3a+3b.\text{Perimeter} = a + a + a + b + b + b = 3a + 3b.

Final Expression:

Perimeter=3a+3b\text{Perimeter} = 3a + 3b

This expression gives the total perimeter of the hexagon.


Would you like me to clarify this further or provide step-by-step calculations? Let me know if you have specific questions!


Related Questions:

  1. How do you calculate the perimeter of polygons with unequal side lengths?
  2. What is the perimeter formula for a regular hexagon?
  3. How does the concept of perimeter relate to the area of a polygon?
  4. Can this expression 3a+3b3a + 3b be simplified further using factoring?
  5. How would you calculate the perimeter if the values of aa and bb were given?

Tip:

When calculating the perimeter of a polygon, always ensure that all sides are properly accounted for and labeled to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter Calculation
Algebra

Formulas

Perimeter of a polygon = Sum of all side lengths

Theorems

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Suitable Grade Level

Grades 5-7