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An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed?
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An equilateral triangle is formed on one the side of the square whose ...
Understanding the Shape
To begin, we have a square with a side length of 8 cm. When an equilateral triangle is formed on one side of the square, it shares that side as its base.
Dimensions of the Square
- Side length of the square = 8 cm
- The square has four equal sides.
Dimensions of the Equilateral Triangle
- Each side of the equilateral triangle is equal to the side of the square.
- Therefore, each side of the triangle = 8 cm.
Calculating the Perimeter
To find the perimeter of the combined shape (square + triangle):
1. Perimeter of the Square:
- Perimeter = 4 × side length
- Perimeter = 4 × 8 cm = 32 cm
2. Perimeter of the Equilateral Triangle:
- Perimeter = 3 × side length
- Perimeter = 3 × 8 cm = 24 cm
3. Adjusting for Shared Side:
- The triangle shares one side with the square, so we must subtract this shared side from the total perimeter.
- Shared side length = 8 cm
Final Calculation
- Total Perimeter = Perimeter of Square + Perimeter of Triangle - Shared Side
- Total Perimeter = 32 cm + 24 cm - 8 cm = 48 cm
Conclusion
The total perimeter of the shape formed by the square and the equilateral triangle is 48 cm.
To begin, we have a square with a side length of 8 cm. When an equilateral triangle is formed on one side of the square, it shares that side as its base.
Dimensions of the Square
- Side length of the square = 8 cm
- The square has four equal sides.
Dimensions of the Equilateral Triangle
- Each side of the equilateral triangle is equal to the side of the square.
- Therefore, each side of the triangle = 8 cm.
Calculating the Perimeter
To find the perimeter of the combined shape (square + triangle):
1. Perimeter of the Square:
- Perimeter = 4 × side length
- Perimeter = 4 × 8 cm = 32 cm
2. Perimeter of the Equilateral Triangle:
- Perimeter = 3 × side length
- Perimeter = 3 × 8 cm = 24 cm
3. Adjusting for Shared Side:
- The triangle shares one side with the square, so we must subtract this shared side from the total perimeter.
- Shared side length = 8 cm
Final Calculation
- Total Perimeter = Perimeter of Square + Perimeter of Triangle - Shared Side
- Total Perimeter = 32 cm + 24 cm - 8 cm = 48 cm
Conclusion
The total perimeter of the shape formed by the square and the equilateral triangle is 48 cm.
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An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed?
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An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed?.
An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An equilateral triangle is formed on one the side of the square whose one side is 8 cm. find the perimeter of the shape that is formed?.
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