Math Example--Area and Perimeter--Quadrilaterals: Example 21

Topic

Geometry

Description

This example demonstrates how to calculate the perimeter of a rhombus. The rhombus ABCD has all sides measuring 35 units. To find the perimeter, we use the formula P = 4s, where s is the length of a side. In this case, P = 4 × 35 = 140 units.

Understanding the perimeter of various quadrilaterals, including rhombuses, 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 rhombuses. 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 rhombus. A rhombus is a special quadrilateral where all sides are equal, but it's not necessarily a square. In this case, all sides measure 35 units. To find the perimeter, we simply multiply the side length by 4. So, 4 × 35 gives us 140 units. Notice how this is similar to finding the perimeter of a square? That's because a rhombus, like a square, has all sides equal. Can you think of any real-world objects that might be shaped like a rhombus? 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.