Math Problem Statement
Solution
To find the perimeter of this irregular figure, let's analyze the labeled lengths:
- The figure has several sides, meeting at right angles.
- Label each side as follows:
- Vertical sides: 52 cm, 27 cm, and an unlabeled small segment (which can be calculated).
- Horizontal sides: 25 cm, 27 cm, 20 cm, and an unlabeled small segment (which can be calculated).
Step 1: Determine the Missing Side Lengths
Since opposite sides in this stepped shape are equal:
- The vertical side missing segment = .
- The horizontal side missing segment = .
Step 2: Calculate the Perimeter
Now, sum up all side lengths:
- Vertical sides:
- Horizontal sides:
Total perimeter = .
Final Answer:
The perimeter of the figure is 183 cm.
Would you like more details or have any questions?
Related Questions:
- How to find perimeters of irregular shapes?
- How do right angles affect perimeter calculations?
- What is the perimeter formula for a rectangle?
- How to calculate missing sides in irregular polygons?
- Why is adding all side lengths necessary for perimeter?
Tip: Always check for missing side lengths by subtracting given lengths if the figure has symmetry or parallel sides.
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Math Problem Analysis
Mathematical Concepts
Geometry
Perimeter Calculation
Irregular Shapes
Formulas
Perimeter of an irregular shape = Sum of all side lengths
Theorems
Right Angle Properties
Suitable Grade Level
Grades 6-8
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