Perimeter

Perimeter is the distance around the outside of a shape. It is the total length of all the sides of the shape added together. The perimeter is measured in units such as inches, feet, meters, or centimeters, depending on the scale of the shape.

Formulas for Perimeter

The formulas for finding the perimeter of common shapes are:

Square: Perimeter = 4 * side length
Rectangle: Perimeter = 2 * (length + width)
Triangle: Perimeter = side1 + side2 + side3
Circle: Perimeter = 2 * π * radius (or π * diameter)

Example Problems

Let's solve some example problems to practice finding the perimeter of different shapes:

Find the perimeter of a square with side length 5 units.

Perimeter = 4 * 5 = 20 units

Find the perimeter of a rectangle with length 7 units and width 4 units.

Perimeter = 2 * (7 + 4) = 2 * 11 = 22 units

Find the perimeter of a triangle with side lengths 3 units, 4 units, and 5 units.

Perimeter = 3 + 4 + 5 = 12 units

Find the perimeter of a circle with a radius of 8 units.

Perimeter = 2 * π * 8 = 16π units

Study Tips

Here are some tips for studying and mastering the concept of perimeter:

Practice using the formulas for finding the perimeter of different shapes.
Draw and label different shapes to visualize the concept of perimeter.
Work on a variety of example problems to strengthen your understanding.
Use real-life examples to understand the practical application of perimeter in measuring boundaries and distances.
Review and memorize the perimeter formulas for common shapes.

By understanding the concept of perimeter and practicing with different shapes, you can become proficient in calculating the perimeter of various geometric figures.