Math Problem Statement

find the perimeter

find the perimeter

Solution

To find the perimeter of each L-shaped figure, we need to sum the lengths of all the sides.

First figure (on the left):

The sides are labeled as follows:

  • Horizontal sides: 3, 1, and 2.
  • Vertical sides: 1, 2, 1, and 1.

Thus, the perimeter is calculated as: P=3+1+2+1+2+1+1=11P = 3 + 1 + 2 + 1 + 2 + 1 + 1 = 11 So, the perimeter of the first figure is 11 units.

Second figure (on the right):

The sides are labeled as follows:

  • Horizontal sides: 1, 1, and 2.
  • Vertical sides: 1, 2, 1, and 3.

Thus, the perimeter is calculated as: P=1+1+2+1+2+1+3=11P = 1 + 1 + 2 + 1 + 2 + 1 + 3 = 11 So, the perimeter of the second figure is also 11 units.

Conclusion:

Both figures have a perimeter of 11 units.

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

  1. How do you calculate the area of these L-shaped figures?
  2. Can you find the perimeter of a similar shape with different side lengths?
  3. What happens to the perimeter if one side length increases by 2 units?
  4. How can we find the perimeter if the shape has diagonals?
  5. Can you explain how perimeter is used in real-life applications?

Tip: The perimeter is always the total length of all the outer edges of a figure. Make sure to carefully identify each side when calculating it.

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Math Problem Analysis

Mathematical Concepts

Geometry
Perimeter Calculation
L-shaped Figures

Formulas

Perimeter = sum of all sides

Theorems

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Suitable Grade Level

Grades 5-7