Polygons and Area of Rectangle

Polygon

• A polygon is a closed two-dimensional shape formed by connecting straight line segments.
• These segments are called sides.
• Polygons are classified based on the number of sides they have.
• Common polygons include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and so on.
• The interior angles of a polygon add up to a specific value depending on the number of sides.
• A regular polygon has all sides and angles equal.
• Irregular polygons do not have all sides and angles equal.
• To calculate the area of a polygon typically requires additional information or specific methods tailored for the shape.

Area of a Rectangle

• A rectangle is a quadrilateral with four right angles.
• Opposite sides of a rectangle are equal in length.
• The area of a rectangle is calculated by multiplying its length by its width.
• Formula: Area = length × width
• The units of area are always square units (e.g., square meters, square centimeters).
• A square is a special type of rectangle where all sides are equal in length. The area of a square is calculated by squaring the length of one side.

Quadrilateral

• A quadrilateral is a polygon with four sides and four angles.
• Different types of quadrilaterals exist with varying properties.
• Examples of quadrilaterals include rectangles, squares, parallelograms, trapezoids, and kites.
• The sum of the interior angles in any quadrilateral is 360 degrees.
• Specific properties such as parallel sides, equal sides, and right angles define each of these types.
• To calculate the area of a quadrilateral the specifics of the shape must be known (e.g., rectangle, parallelogram).
• The formula for calculating the area of a quadrilateral depends on the specific type of quadrilateral.