Math Example--Area and Perimeter--Quadrilaterals: Example 23

Topic

Geometry

Description

This example demonstrates how to calculate the perimeter of a kite. The kite ABCD has two pairs of equal sides: AB and AD measure 22 units each, while BC and CD measure 11 units each. To find the perimeter, we add all four side lengths. In this case, P = 22 + 22 + 11 + 11 = 66 units.

Understanding the perimeter of various quadrilaterals, including kites, is an important concept in geometry. This collection of examples helps students visualize and compute perimeters of different shapes, expanding their geometric knowledge beyond basic rectangles and squares. By exploring various quadrilaterals, students develop a more comprehensive understanding of perimeter and how it relates to different geometric properties.

Exposure to multiple worked-out examples is crucial for students to fully grasp the concept of perimeter, especially for shapes with unique properties like kites. Each example reinforces fundamental principles while introducing new approaches, allowing students to recognize patterns and develop problem-solving strategies. This approach builds confidence and proficiency in applying formulas and reasoning through geometric problems involving various quadrilaterals.

Teacher Script: "Now we're looking at a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, we have two sides of 22 units and two sides of 11 units. To find the perimeter, we simply add all four sides together. So, 22 + 22 + 11 + 11 gives us 66 units. Notice how we can group the equal sides to make our calculation easier: 2(22) + 2(11) = 44 + 22 = 66. Can you think of any real-world objects that might be shaped like a kite? How might knowing its perimeter be useful in a practical situation?"

For a complete collection of math examples related to Area and Perimeter click on this link: Math Examples: Quadrilateral Area and Perimeter Collection.