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BOUNDARY

BOUNDARY

Definition Of Boundary

Boundary is a border that encloses a space or an area.

More About Boundary

The distance around the boundary is called as 'perimeter'.

Video Examples: What Is a Boundary Line in Graphing?

Example of Bisector of a Line

The length of the three sides of a triangular field is 9 m, 5 m, and 11 m

The boundary or perimeter of the field is given as 9 m + 5 m + 11 m = 25 m

Solved Example on Boundary

Ques: A gardener wants to plant 4 plants per meter along the boundary of a garden, which is represented by the quadrilateral ABCD shown in the figure. Calculate the number of plants required.

Choices:

A. 75
B. 80
C. 70
D. 60
Correct Answer: B

Solution:

Step 1: Perimeter of the quadrilateral ABCD = Sum of the four sides of the quadrilateral.
Step 2: = AB + BC + CD + DA
Step 3: = 3 + 8 + 4 + 5 = 20 meters [Substitute AB = 3, BC = 8, CD = 4, and DA = 5 and simplify.]
Step 4: The number of plants required = 20 × 4 = 80.

Quick Summary

  • A boundary encloses an area.
  • The distance around the boundary is called the perimeter.
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🍎 Teacher Insights

Use real-world examples to illustrate boundaries (e.g., a fence around a yard).

🎓 Prerequisites

  • Basic addition
  • Understanding of shapes

Check Your Knowledge

Q1: What is the perimeter of a square with sides of 5cm?

Frequently Asked Questions

Q: What is the difference between boundary and perimeter?
A: The boundary is the edge or border of a shape, while the perimeter is the length of that boundary.

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