Math Problem Statement

What is the perimeter of the figure below?

Solution

To calculate the perimeter of the figure shown, we need to sum the lengths of all the outer edges.

From the image, we can observe the following sides:

  • Horizontal sides: 11 in, 2 in
  • Vertical sides: 9 in, 2 in

The missing side lengths, which complete the rectangle-like shape, are:

  • A vertical side opposite the 9 in side (which must also be 9 in).
  • A horizontal side opposite the 11 in side (which must also be 11 in).

Now, the perimeter is calculated by adding all these side lengths:

Perimeter=11+2+9+9+11+2=44inches\text{Perimeter} = 11 + 2 + 9 + 9 + 11 + 2 = 44 \, \text{inches}

Thus, the perimeter of the figure is 44 inches.

Would you like a more detailed explanation, or do you have any other questions?

Here are some related questions to expand your understanding:

  1. How would you calculate the area of this figure?
  2. How would the perimeter change if one of the side lengths was doubled?
  3. What is the perimeter of a square with the same total area as this figure?
  4. Can the perimeter formula be generalized for any polygon?
  5. What happens to the perimeter if you subtract a small rectangle from one corner of this shape?

Tip: Always double-check for missing or implied side lengths when calculating perimeters of irregular shapes!

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter of irregular polygons

Formulas

Perimeter = sum of all side lengths

Theorems

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Suitable Grade Level

Grades 4-6