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.

Explore polygons, closed 2D shapes formed by straight lines, classified by sides with specific interior angle sums. Learn about rectangles, quadrilaterals with four right angles, and calculate their area by multiplying length by width, resulting in square units.