Perimeter

Learning Objectives Define perimeter and calculate it for any polygon. Apply formulas to find the perimeter of common shapes like rectangles and squares. Calculate the perimeter of polygons when side lengths are represented by algebraic expressions (polynomials). Determine the perimeter of composite figures by identifying and summing all exterior side lengths. Solve for unknown side lengths when the perimeter is given as a numerical value or an algebraic expression. Calculate the perimeter of a polygon on a coordinate plane using the distance formula. Ever wondered how much fencing you'd need for a uniquely shaped yard or how much trim to put around a room? 🏡 That's all about perimeter! This tutorial will guide you through the concept of perimeter, which is the t...

TermDefinitionExample PerimeterThe total distance around the outside of a closed two-dimensional figure. It is calculated by adding the lengths of all its sides.A triangle with side lengths 3 cm, 4 cm, and 5 cm has a perimeter of 3 + 4 + 5 = 12 cm. PolygonA closed plane figure with at least three straight sides and angles.Triangles, quadrilaterals (squares, rectangles), pentagons, and hexagons are all polygons. Regular PolygonA polygon where all sides are equal in length and all interior angles are equal in measure.An equilateral triangle (3 equal sides) or a square (4 equal sides) are regular polygons. CircumferenceThe specific term for the perimeter of a circle or an ellipse.A circle with a radius of 5 units has a circumference of 2 * π * 5 ≈ 31.42 units. Algebraic ExpressionA mathemati...

General Perimeter of a Polygon P = s_1 + s_2 + s_3 + ... + s_n This is the fundamental rule for any polygon. To find the perimeter, you simply sum the lengths of all 'n' sides. Perimeter of a Rectangle P = 2l + 2w Use this formula for rectangles, where 'l' is the length and 'w' is the width. It's a shortcut for adding all four sides (l + w + l + w). Distance Formula d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} Use this formula to find the length of a side of a polygon when you are given the coordinates of its vertices (x₁, y₁) and (x₂, y₂) on a coordinate plane. This is essential for finding perimeter in coordinate geometry.