Math Example--Area and Perimeter--Quadrilaterals: Example 5

Topic

Geometry

Description

This example illustrates how to calculate the area of a parallelogram. The parallelogram ABCD has a base of 15 units and a height of 7 units. To find the area, we use the formula A = b × h, where b is the base and h is the height. In this case, A = 15 × 7 = 105 square units.

Understanding the area of parallelograms is an important concept in geometry that builds upon students' knowledge of rectangles. This collection of examples helps students visualize and compute areas of various quadrilaterals, including shapes that may be less familiar. By exploring different types of 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 that are not rectangles. Each example reinforces the basic principle while introducing new shapes, allowing students to recognize patterns and develop problem-solving strategies. This approach helps build confidence and proficiency in applying formulas and reasoning through geometric problems involving various quadrilaterals.

Teacher Script: "Now we're looking at a parallelogram. Notice how it's similar to a rectangle, but with slanted sides? The key here is to focus on the base and height. The base is the bottom side, which is 15 units. The height is the perpendicular distance between the base and the opposite side, which is 7 units. To find the area, we multiply these together, just like with a rectangle. So, 15 × 7 gives us 105 square units. Can you think of any real-world objects that might be shaped like a parallelogram?"

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