Math Example--Area and Perimeter--Quadrilaterals: Example 17

Topic

Geometry

Description

This example illustrates how to calculate the perimeter of a parallelogram. The parallelogram ABCD has side lengths of 17 units and 25 units. To find the perimeter, we use the formula P = 2(l + w), where l and w are the lengths of the two different sides. In this case, P = 2(17 + 25) = 2(42) = 84 units.

Understanding the perimeter of various quadrilaterals, including parallelograms, 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 parallelograms. 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 parallelogram. Notice how opposite sides are parallel and equal in length? To find the perimeter, we need to add all four sides. But since opposite sides are equal, we can simplify this by adding the two different side lengths and multiplying by 2. So, 2(17 + 25) gives us 84 units. Can you think of any real-world objects that might be shaped like a parallelogram? 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.