Calculate perimeter and area of polygons.

Math Problem Solving Quiz

Calculate Perimeter and Area of Polygons

In this lesson, we will learn how to calculate the perimeter and area of polygons such as squares, rectangles, and triangles.

What is Perimeter?

The perimeter of a polygon is the total length of all its sides. For example:

• For a square, the perimeter is the sum of all four sides.
• For a rectangle, the perimeter is the sum of all four sides.

Example 1: Perimeter of a Square

If the side of a square is 5 cm, the perimeter is:

Perimeter = 4 × side = 4 × 5 = 20 cm

Example 2: Perimeter of a Rectangle

If the length of a rectangle is 8 cm and the width is 4 cm, the perimeter is:

Perimeter = 2 × (length + width) = 2 × (8 + 4) = 2 × 12 = 24 cm

What is Area?

The area of a polygon is the space enclosed by its sides. For example:

• For a square, the area is the square of the length of one side.
• For a rectangle, the area is the product of its length and width.

Example 1: Area of a Square

If the side of a square is 5 cm, the area is:

Area = side × side = 5 × 5 = 25 cm²

Example 2: Area of a Rectangle

If the length of a rectangle is 8 cm and the width is 4 cm, the area is:

Area = length × width = 8 × 4 = 32 cm²

Now, let's practice calculating the perimeter and area of polygons!

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