Math Problem Statement

In the following figure, AB = 7 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm.

What is the perimeter of the figure?

Perimiter of Composite Image

Do not include "cm" with your response.

In the following figure, AB = 7 cm, BC = 3 cm, CD = 1 cm, DE = 2 cm, EF = 3 cm, and FG = 1 cm. What is the perimeter of the figure?

Solution

The perimeter of the given figure is 25.

Would you like more details or have any questions? Here are 5 related questions to explore:

  1. How would the perimeter change if side BCBC increased by 2 cm?
  2. What is the area of the figure if you calculate it as two separate rectangles?
  3. Can you explain how the perimeter would differ if it was a regular polygon?
  4. How can you calculate the perimeter of a more complex shape with curved edges?
  5. How would you solve for unknown side lengths in similar composite figures?

Tip: For composite shapes, it's useful to break the figure down into simpler parts (like rectangles) to make calculations easier.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter of Composite Shapes

Formulas

Perimeter = sum of all side lengths

Theorems

Addition of side lengths in polygons

Suitable Grade Level

Grades 6-8

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