Class 8 Maths - WEST-BENGAL
Area
In this chapter on Area for Class 8 under the West Bengal Board of Secondary Education (WBBSE), students learn to calculate the surface areas of various geometric figures. Building upon earlier knowledge of basic rectangles and squares, this chapter introduces methods to find the area of triangles, parallelograms, trapeziums, rhombuses, and complex polygons by splitting them into simpler shapes. It also covers the concept of area conversion and practical word problems involving paths around fields, flooring, and carpeting. Mastery of this chapter is crucial for board exams as it forms the foundation for advanced mensuration in higher classes.
Start Learning FreeKey Concepts
Area of a Triangle
The region enclosed by a three-sided closed figure, calculated as half the product of its base and corresponding height.
Area of a Parallelogram
The space inside a four-sided figure with opposite sides parallel and equal, found by multiplying its base by its perpendicular height.
Area of a Trapezium
The area enclosed by a quadrilateral with one pair of parallel sides, calculated as half the product of the sum of parallel sides and the distance between them.
Area of a Rhombus
The area of a rhombus is determined by taking half of the product of the lengths of its two diagonals.
Area of Paths and Border Regions
Calculated by finding the area of the outer boundary and subtracting the area of the inner region, commonly used for paths running inside or outside a rectangular field.
Important Formulas
Board Exam Info
In the WBBSE Class 8 Mathematics final examination, the chapter on Area typically carries around 6 to 10 marks. Common question types include short answer questions involving direct formula application, and 3-to-5-mark long-answer word problems based on finding the area of paths around gardens, fields, or calculating costs of flooring.
Frequently Asked Questions
How do I find the height of a triangle if the area and base are given?
You can use the rearranged formula: Height = (2 * Area) / Base.
What is the difference between perimeter and area?
Perimeter is the total length around the outer boundary of a 2D shape, while area is the total measure of the flat surface enclosed inside that boundary.
How do I calculate the area of a path running outside a rectangular park?
First, find the area of the park including the path (outer rectangle), then find the area of the park alone (inner rectangle). Subtract the inner area from the outer area to get the path's area.
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