Understanding the Concept of Perimeter
The perimeter of a shape is the total distance around its edges. It’s a fundamental concept in geometry that helps us understand the size and scale of different shapes. In this blog post, we’ll focus on finding the missing side perimeter of various shapes.
Why is Finding the Missing Side Perimeter Important?
Finding the missing side perimeter is a crucial skill in mathematics, especially in geometry and measurement. It helps us solve real-world problems, such as determining the length of fencing needed to enclose a garden or the amount of fabric required to sew a dress.
Types of Shapes and Their Perimeters
There are various types of shapes, each with its unique perimeter formula. Let’s explore some of the most common shapes and their perimeter formulas:
- Rectangle: The perimeter of a rectangle is given by the formula: P = 2(l + w), where l is the length and w is the width.
- Square: The perimeter of a square is given by the formula: P = 4s, where s is the side length.
- Triangle: The perimeter of a triangle is given by the formula: P = a + b + c, where a, b, and c are the side lengths.
- Circle: The perimeter of a circle is given by the formula: P = 2πr, where r is the radius.
Solving Missing Side Perimeter Problems
Now that we’ve covered the basics of perimeter, let’s dive into solving missing side perimeter problems.
Example 1: Finding the Missing Side of a Rectangle
A rectangle has a length of 6 cm and a width of 4 cm. If the perimeter is 20 cm, find the missing side.
Solution:
Let’s use the perimeter formula for a rectangle: P = 2(l + w)
We know the length (l) is 6 cm, the width (w) is 4 cm, and the perimeter (P) is 20 cm.
20 = 2(6 + 4) 20 = 2(10) 20 = 20
Since the equation is true, we can conclude that the missing side is also 6 cm (the length).
Example 2: Finding the Missing Side of a Triangle
A triangle has two sides of 5 cm and 7 cm. If the perimeter is 18 cm, find the missing side.
Solution:
Let’s use the perimeter formula for a triangle: P = a + b + c
We know two sides (a) is 5 cm and (b) is 7 cm, and the perimeter (P) is 18 cm.
18 = 5 + 7 + c 18 = 12 + c c = 6
The missing side is 6 cm.
Table: Perimeter Formulas and Missing Side Solutions
| Shape | Perimeter Formula | Missing Side Solution |
|---|---|---|
| Rectangle | P = 2(l + w) | Example 1: l = 6 cm, w = 4 cm, P = 20 cm => missing side = 6 cm |
| Triangle | P = a + b + c | Example 2: a = 5 cm, b = 7 cm, P = 18 cm => missing side = 6 cm |
Conclusion
Finding the missing side perimeter is an essential skill in mathematics that helps us solve real-world problems. By understanding the perimeter formulas for different shapes and practicing with examples, we can become proficient in solving missing side perimeter problems. Remember to use the formulas and examples provided in this blog post to help you solve similar problems.
What is the perimeter of a shape?
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The perimeter of a shape is the total distance around its edges.
How do I find the missing side of a rectangle?
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Use the perimeter formula for a rectangle: P = 2(l + w), where l is the length and w is the width.
What is the perimeter formula for a triangle?
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The perimeter formula for a triangle is P = a + b + c, where a, b, and c are the side lengths.
Related Terms:
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- missing length perimeter worksheet pdf
- free worksheets on finding perimeter
- missing side sheet 5 worksheet
