About RS Aggarwal Solutions for Class 8 Maths Chapter-18 Area of a Trapezium and a Polygon
The chapter on Area of a Trapezium and a Polygon is crucial in Class 8 Maths as it focuses on calculating areas of various two-dimensional shapes, strengthening students’ mensuration skills. This chapter begins by defining a trapezium and its properties, followed by the formula for its area, which involves the sum of the lengths of parallel sides multiplied by the height, divided by two. Subtopics include calculating the area of regular and irregular polygons, understanding the relationship between sides and apothem for regular polygons, and using formula-based methods for accurate calculations. Students also learn stepwise techniques for solving word problems and finding missing dimensions using given area values. To prepare this chapter effectively, students should first memorize formulas of Maths for the area of trapezoids and different polygons, including triangles, rectangles, squares, and regular polygons. Practicing stepwise problems with varied numerical data is essential for mastering the calculations. Drawing accurate diagrams and labeling sides, heights, and apothems help in visualizing problems and reducing mistakes. Word problems in this chapter often involve combining different shapes or finding areas from given perimeters, which enhances logical reasoning and analytical skills. Miscellaneous examples in the textbook provide a variety of scenarios, making students comfortable with applying formulas in both simple and complex problems. Real-life applications, such as calculating land areas, designing gardens, and planning construction layouts, make the chapter practical and relatable. Regular practice, revising formulas, and solving higher-order problems improve speed, accuracy, and confidence. Attention to detail in measurements and stepwise calculations ensures minimal errors. Mastery of this chapter is essential as it forms the foundation for three-dimensional mensuration topics like volume and surface area of solids. By practicing systematically, applying formulas carefully, and visualizing shapes accurately, learners can efficiently solve all problems related to trapeziums and polygons, developing strong mensuration skills applicable in academics and real-world scenarios. In Class 8 Maths, Chapter 18 focuses on the topic of "Area of a Trapezium and a Polygon." This chapter deals with the concept of finding the area of trapezoids and polygons using appropriate formulas and techniques. Here are some key points about the area of a trapezium and a polygon: For RS Aggarwal's class 8 Maths, check out the page, and if you need home tuition for class 8 Maths, find the right tutors.
Area of a Trapezium: A trapezium is a quadrilateral with one pair of parallel sides. To find the area of a trapezium, you can use the following formula:
Area = (1/2) × (sum of parallel sides) × height
The height is the perpendicular distance between the parallel sides.
Area of a Polygon: A polygon is a closed figure formed by three or more line segments. To find the area of a polygon, different methods can be used depending on the type of polygon.
Regular Polygon: A regular polygon has all sides and angles equal. The area of a regular polygon can be calculated using the formula: For RS Aggarwal's class 8 Maths, check out the page, and if you need home tuition for class 8 Maths, find the right tutors.
Area = (1/2) × apothem × perimeter
The apothem is the perpendicular distance from the center of the polygon to any side, and the perimeter is the sum of all the sides.
Irregular Polygon: An irregular polygon has sides and angles of different lengths and measures. To find the area of an irregular polygon, it can be divided into triangles or other simpler shapes. The area of each smaller shape is calculated individually, and then the total area is obtained by summing up the areas of all the individual shapes.
Exercise of RS Aggarwal Solutions for Class 8 Maths Chapter-18 Area of a Trapezium and a Polygon
Class 8 Maths Area of a Trapezium and a Polygon (Ex 18A) Exercise 18.1
Class 8 Maths Area of a Trapezium and a Polygon (Ex 18B) Exercise 18.2
Class 8 Maths Area of a Trapezium and a Polygon (Ex 18C) Exercise 18.3