Math Problem Statement
Solution
To find the perimeter of this trapezoid, we need to add the lengths of all four sides. Based on the image, the given sides are:
- Top side = 67 meters
- Bottom side = 61 meters
- Left side = 58 meters
- Right side = also 58 meters (since it’s a trapezoid and the non-parallel sides are typically equal).
Step-by-Step Solution
- Sum of All Sides (Perimeter): Calculating this:
Conversion to Decimeters
Since , we convert the perimeter from meters to decimeters:
Final Answers
- Perimeter = 244 meters
- Perimeter = 2440 decimeters
Let me know if you'd like a more detailed explanation of each step or if you have further questions!
Here are some related questions:
- How would you find the area of this trapezoid if given the height?
- If one of the sides was missing, how could you determine it with only the perimeter?
- What if the shape was a parallelogram instead? How would that change the approach?
- How would the perimeter change if each side was increased by a fixed percentage?
- How can you convert between various metric units easily for such perimeter problems?
Tip: For unit conversions, always remember the power of 10 relationship in the metric system (e.g., meters to decimeters is ).
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Perimeter calculation
Basic geometry
Unit conversion
Formulas
Perimeter of a quadrilateral: P = side1 + side2 + side3 + side4
Meter to decimeter conversion: 1 m = 10 dm
Theorems
-
Suitable Grade Level
Grades 6-8
Related Recommendation
Finding the Perimeter of an Irregular Polygon with Given Side Lengths
Find the Perimeter of a Geometric Figure with Given Side Lengths
Calculating Properties of a Quadrilateral with Mixed Units (10mm, 8m, 6m, 12m)
Find the Area of Quadrilateral ABCD with Parallel Sides and Equal Divisions
Finding the Area of a Quadrilateral with Right Angles - Side Lengths 4 km, 9 km, and 13 km