Class 8 Maths - UP
Area
In this chapter, Class 8 UP Board students will learn about the measurement of the surface enclosed by closed figures. You will explore the concept of area beyond simple rectangles and squares, moving into parallelograms, triangles, trapeziums, and polygons. Understanding how to calculate the area of these shapes is crucial for solving real-life measurement problems, such as finding the cost of flooring or painting. This chapter holds significant weight in the UP Board examinations, frequently featuring both direct formula-based questions and multi-step word problems that test your spatial reasoning and calculation skills.
Start Learning FreeKey Concepts
Area of a Parallelogram
The area of a parallelogram is calculated by multiplying the length of its base by its corresponding height (altitude).
Area of a Triangle
The area of a triangle is equal to half the product of its base and its corresponding height, which is derived from the area of a parallelogram.
Area of a Trapezium
The area of a trapezium is calculated by multiplying half the sum of the lengths of its parallel sides by the perpendicular distance between them.
Area of General Quadrilaterals
Any general quadrilateral can be divided into two triangles by drawing a diagonal, allowing its total area to be found by summing the areas of both triangles.
Area of Polygons
The area of a complex polygon can be found by dividing it into simpler non-overlapping shapes like triangles, rectangles, and trapeziums.
Important Formulas
Board Exam Info
In the UP Board Class 8 Mathematics examination, the chapter on Area typically carries around 6 to 8 marks. Common question types include short-answer numerical problems finding the area of parallelograms and trapeziums, as well as 4-mark long-answer questions involving word problems about fields, paths, or dividing complex polygons into standard shapes.
Frequently Asked Questions
What is the difference between perimeter and area?
Perimeter is the total length around the boundary of a closed shape, while area is the total measure of the flat surface enclosed within that boundary.
Can the height of a triangle be outside the triangle?
Yes, in obtuse-angled triangles, the height (altitude) corresponding to an extended base falls outside the triangle.
How do I find the area of a field that has an irregular polygon shape?
You can split the irregular field into several non-overlapping standard shapes like triangles and rectangles, find the area of each part separately, and add them all together.
Learn Area with Your AI Tutor
10 different ways to study this chapter. Free for 3 chapters per day.
Lecture
Key Points
Interactive
Quiz
Flashcards