Math Problem Statement
find the perimeter
Solution
To calculate the perimeter of the given shape, we'll add up the lengths of all its sides.
From the image:
- The top three horizontal segments measure 18 mm, 8 mm, and 20 mm.
- The two vertical segments on the right are 23 mm each.
- The three vertical segments on the left are 45 mm, 23 mm, and 45 mm.
- The bottom three horizontal segments are 10 mm each.
Now, let's add these up:
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Top horizontal sides:
-
Right vertical sides:
-
Left vertical sides:
-
Bottom horizontal sides:
Finally, sum up all the sides to find the perimeter:
So, the perimeter of the shape is 235 mm.
Would you like any further details or explanations?
Here are some related questions:
- How would you calculate the perimeter if the shape had more indentations?
- What is the perimeter of a shape with similar dimensions but without indentations?
- How does the unit of measurement affect the calculation of the perimeter?
- What is the difference between finding the perimeter of a 2D shape versus the surface area of a 3D shape?
- How would you find the perimeter of a complex polygon with more sides?
Tip: When dealing with complex shapes, break the shape into simpler parts to make calculating the perimeter easier.
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Math Problem Analysis
Mathematical Concepts
Perimeter
Geometry
Formulas
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Theorems
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Suitable Grade Level
Grades 4-6
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