Math Example--Area and Perimeter--Quadrilaterals: Example 11

Topic

Geometry

Description

This example illustrates how to calculate the area of a kite using its diagonals. The kite has diagonals measuring 25 units and 19 units. To find the area of a kite, we use the formula A = (d₁ × d₂) ÷ 2, where d₁ and d₂ are the lengths of the diagonals. In this case, A = (25 × 19) ÷ 2 = 475 ÷ 2 = 237.5 square units.

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

Exposure to multiple worked-out examples is crucial for students to fully grasp the concept of area, especially for shapes with unique properties like kites. Each example reinforces fundamental principles while introducing new formulas and 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. To find its area, we use a special formula involving the diagonals. Our diagonals are 25 units and 19 units. We multiply these together and then divide by 2. So, (25 × 19) ÷ 2 gives us 237.5 square units. Isn't it interesting how we can find the area using the diagonals instead of the sides? This method works because the diagonals of a kite are always perpendicular to each other!"

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