Math Problem Statement
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: 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: 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:
- How do you calculate the area of these L-shaped figures?
- Can you find the perimeter of a similar shape with different side lengths?
- What happens to the perimeter if one side length increases by 2 units?
- How can we find the perimeter if the shape has diagonals?
- 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