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Chapter 23 of 25
Chapter Summary

Mensuration — Chapter Summary

ICSE · Class 7 · Mathematics

Summary of Mensuration for ICSE Class 7 Mathematics. Part of the ICSE Class 7 Mathematics syllabus. Mensuration deals with perimeter and area of plane.

50 questions25 flashcards14 formulas & key relations5 concepts

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Overview

Mensuration deals with perimeter and area of plane figures such as rectangles, squares, triangles, and circles. Perimeter is the total length of the boundary of a closed plane figure, and the region bounded by the perimeter is called its area. The chapter also connects units of length with units of

Key Concepts

Perimeter is the total length

Perimeter is the total length of the boundary of a closed plane figure. For a rectangle, square, triangle, and circle, different formulas are used to

Area is the region bounded by

Area is the region bounded by the perimeter of a figure. It tells how much surface is covered by a shape.

Area units are square units

Area units are square units. The relation between length and area changes by squaring the conversion factor. For example, 1 cm² = 100 mm², 1 m² = 1000

Rectangle perimeter is P = 2(l

Rectangle perimeter is P = 2(l + b). Rectangle area is Area = l × b. The length can also be found from l = P/2 - b, and the breadth from b = P/2 - l.

Square perimeter is P = 4s

Square perimeter is P = 4s. Square area is Area = s² = 1/2 × (diagonal)². The diagonal of a square is s√2.

Learning Objectives

  • Understand the meaning of perimeter and area
  • Use the correct units for length and area
  • Find the perimeter of rectangles, squares, triangles, and circles
  • Find the area of rectangles, squares, triangles, and circles
  • Use formulas to find unknown sides or radii

Frequently Asked Questions

What are the important topics in Mensuration for ICSE Class 7 Mathematics?
Key topics in Mensuration include Core Ideas and Units, Perimeter of Plane Figures, Area of Rectangle and Square, Area of Triangle. Study these first, then practise questions on each for Class 7 exams.
How should I revise Mensuration for Class 7 exams?
Learn the core ideas first, then work through the 50 practice questions on Mensuration. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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