Perimeter

Learning Objectives Define perimeter and identify its real-world applications. Calculate the perimeter of various polygons, including squares, rectangles, and triangles. Determine the perimeter of irregular polygons by summing all side lengths. Apply perimeter formulas to solve problems involving regular polygons. Find a missing side length of a polygon when given its perimeter and the lengths of the other sides. Use appropriate units when calculating and stating perimeter. Ever wondered how much fencing you'd need to enclose your backyard, or the length of trim required for a new picture frame? 📏 These are all questions about perimeter! In this lesson, we'll explore the concept of perimeter, which is the total distance around the outside of a two-dimensional sha...

TermDefinitionExample PerimeterThe total distance around the outside edge of a two-dimensional shape.If you walk along all the edges of a rectangular park and return to your starting point, the total distance you walked is the perimeter of the park. PolygonA closed two-dimensional shape made up of straight line segments.Triangles, squares, rectangles, and pentagons are all examples of polygons. Side LengthThe length of one of the straight line segments that form the boundary of a polygon.In a square with sides of 5 cm, each 'side length' is 5 cm. Regular PolygonA polygon where all sides are equal in length and all interior angles are equal in measure.An equilateral triangle (all sides equal) and a square (all sides equal) are regular polygons. Irregular PolygonA polygon where no...

Perimeter of Any Polygon \(P = s_1 + s_2 + s_3 + \dots + s_n\) To find the perimeter of any polygon, simply add the lengths of all its sides. This is the fundamental rule for all polygons. Perimeter of a Rectangle \(P = 2(l + w)\) or \(P = 2l + 2w\) For a rectangle with length \(l\) and width \(w\), you can add the length and width and multiply by 2, or add two lengths and two widths. Perimeter of a Square \(P = 4s\) For a square with side length \(s\), since all four sides are equal, you can multiply the side length by 4. Perimeter of a Triangle \(P = a + b + c\) For a triangle with side lengths \(a\), \(b\), and \(c\), add the lengths of its three sides.