Math Problem Statement

find the perimeter of the composite figure

Solution

To find the perimeter of the composite figure in the image, we need to add up the lengths of all the outer sides.

Known Measurements from the Diagram:

  1. Top horizontal line: 9 cm
  2. Top right vertical line: 4 cm
  3. Right middle vertical lines: 6 cm (two segments)
  4. Right bottom vertical line: 5 cm
  5. Left vertical line: 14 cm
  6. Bottom horizontal line: Not explicitly given but can be inferred from other lengths. It should be 95=49 - 5 = 4 cm.

Now, let's list the sides step by step:

  • Left vertical side: 14 cm
  • Top horizontal side: 9 cm
  • Top right vertical side: 4 cm
  • Two middle right vertical sides: 6 cm + 6 cm
  • Bottom right vertical side: 5 cm
  • Bottom horizontal side: 4 cm

Summing up the lengths:

Perimeter=14+9+4+6+6+5+4+(theheightdifferencebetweentheleftandrightverticals)\text{Perimeter} = 14 + 9 + 4 + 6 + 6 + 5 + 4 + (the height difference between the left and right verticals)

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8