Class 8 Maths - MP
Area
In Class 8 Mathematics under the MP Board, the chapter 'Area' builds upon your prior knowledge of basic shapes and introduces you to calculating the areas of closed plane figures, specifically quadrilaterals and polygons. You will learn how to split complex polygons into simpler triangles and standard quadrilaterals like rectangles, parallelograms, rhombuses, and trapeziums to find their total areas. This chapter is vital because it forms the foundation for advanced geometry and mensuration in higher classes, and questions from this chapter consistently appear in the MP Board annual examinations in both short-answer and long-answer sections.
Start Learning FreeKey Concepts
Area of a Trapezium
The area is calculated as half the product of the sum of the parallel sides and the perpendicular distance (height) between them.
Area of a General Quadrilateral
A quadrilateral can be split into two triangles by drawing a diagonal, and its area is the sum of the areas of those two triangles.
Area of a Rhombus
The area of a rhombus is equal to half the product of the lengths of its two diagonals.
Area of a Polygon
Any polygon can be divided into non-overlapping triangles and trapeziums by drawing diagonals from vertices, allowing us to find the total area.
Surface Area of Cubes and Cuboids
The total surface area is the sum of the areas of all six rectangular or square faces that enclose the 3D solid.
Important Formulas
Board Exam Info
In the MP Board Class 8 Mathematics examination, the Mensuration unit containing the chapter 'Area' typically carries around 8 to 12 marks. Common question types include direct formula-based numerical problems, word problems involving the cost of painting or flooring, and finding the area of irregular polygons by splitting them into standard shapes.
Frequently Asked Questions
How do I find the area of a quadrilateral if only the sides are given?
To find the area of a quadrilateral when only sides are given, you generally need the length of at least one diagonal and the perpendicular drops (offsets) from the opposite vertices to that diagonal.
What is the difference between area and perimeter?
Perimeter is the total length around the outer boundary of a closed shape, while area is the total space or region enclosed inside that boundary.
Can a trapezium have all four sides equal?
No, a trapezium only requires one pair of opposite sides to be parallel. If all sides and angles are equal, it becomes a square or rhombus.
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