Area
CBSE · Class 8 · Mathematics
Summary of Area for CBSE Class 8 Mathematics. Key concepts, important points, and chapter overview.
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Overview
Area is the measure of the space covered by a plane figure. For rectangles, the area is found by counting unit squares, and this gives the formula Area of a rectangle = length × width. A 7 cm × 4 cm rectangle contains 28 unit squares, while an 8 cm × 3 cm rectangle contains 24 unit squares, so a lar
Key Concepts
The area of a rectangle equals
The area of a rectangle equals length × width. This comes from counting how many unit squares fit inside it. A rectangle of 7 cm by 4 cm has area 28 c
A diagonal divides a rectangle into
A diagonal divides a rectangle into two congruent triangles. Each triangle has half the area of the rectangle. In identical rectangles, triangles such
Perimeter is not a valid measure
Perimeter is not a valid measure of area. Two regions can have the same perimeter but different areas, and one region can even have a larger perimeter
The area of a triangle
The area of a triangle is 1/2 × base × height. This formula works for all triangles, including triangles that cannot be enclosed by a rectangle with t
The same triangle can have its
The same triangle can have its area written in more than one way. For example, Area(ΔABC) = 1/2 × AX × BC = 15/2 sq. units and also Area(ΔABC) = 1/2 ×
Learning Objectives
- Measure area by counting unit squares and using formulas
- Find the area of rectangles and squares
- Use the triangle area formula in different situations
- Compare area and perimeter correctly
- Find the area of a parallelogram by dissection
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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