Math Example--Area and Perimeter--Quadrilaterals: Example 9

Topic

Geometry

Description

This example illustrates how to calculate the area of a rhombus. The rhombus ABCD has a side length of 25 units and a height (perpendicular distance between parallel sides) of 19 units. To find the area, we use the formula A = b × h, where b is the base (which is the same as the side length in a rhombus) and h is the height. In this case, A = 25 × 19 = 475 square units.

Understanding the area of various quadrilaterals, including rhombuses, 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 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, we're given the side length, which is 25 units, and the height, which is 19 units. To find the area, we multiply the side length (which acts as our base) by the height. So, 25 × 19 gives us 475 square units. Notice how this is similar to finding the area of a parallelogram? That's because a rhombus is a special type of parallelogram! Can you think of any real-world objects that might be shaped like a rhombus?"

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