NCERT SOLUTIONS FOR CLASS 6 MATHS EXERCISE 10.2

Find here step by step NCERT Solutions for Class 6 Maths Exercise 10.2 Chapter 10 Mensuration. NCERT Solutions for Class 6 Maths Exercise 10.2 deals with the calculation of Area of closed figures using Squared paper.

NCERT Solutions for Class 6 Maths Exercise 10.2 : Finding Area

AREA – The amount of surface enclosed by a closed figure is called its Area.

We use following conventions to calculate the area of a figure using a squared paper conventions :
(a) Ignore portions of the area that are less than half a square.
(b) If more than half a square is in a region. Count it as one square.
(c) If exactly half the square is counted, take its area as \frac{1}{2} sq units.

Closed figures in which all sides and angles are equal are called Regular Polygons.

EXERCISE 10.2

QUESTION 1

Find the areas of the following figures by counting square:

NCERT Solutions for Class 6 Maths Exercise 10.2

ANSWER

(a) Fully filled squares = 9,
Area covered by full squares = 9 × 1 sq units,

Therefore, total area of the figure = 9 sq units.

(b) Fully filled squares = 5
Area covered by full squares = 5 × 1 sq units,

Therefore, total area of the figure = 5 sq units

(c) Fully filled squares = 2
Area covered by full squares = 2 sq units,

Half filled squares = 4
Area covered by half squares = 4 2 = 2

Therefore, total area of the figure = 2 + 2 = 4 sq units.

(d) Fully filled squares = 8
Area covered by full squares = 8×1 sq units,

Therefore, total area of the figure = 8 sq units.

(e) Fully filled squares = 10,
Area covered by full squares = 10×1 sq units,

Therefore, total area of the figure = 10 sq units.

(f) Fully filled squares = 2
Area covered by full squares = 2 sq units,

Half filled squares = 4
Area covered by half squares = 4 2 = 2

Therefore, total area of the figure = 2 + 2 = 4 sq units.

(g) Fully filled squares = 4
Area covered by full squares = 4 sq units,

Half filled squares = 4
Area covered by half squares = 4 2 = 2

Therefore, total area of the figure = 4 + 2 = 6 sq units.

(h) Fully filled squares = 5
Area covered by full squares = 5×1 sq units,

Therefore, total area of the figure = 5 sq units.

(i) Fully filled squares = 9
Area covered by full squares = 9×1 sq units,

Therefore, total area of the figure = 9 sq units.

(j) Fully filled squares = 2
Area covered by full squares = 2 sq units,

Half filled squares = 4
Area covered by half squares = 4 2 = 2

Therefore, total area of the figure = 2 + 2 = 4 sq units.

(k) Fully filled squares = 4
Area covered by full squares = 4 sq units,

Half filled squares = 2
Area covered by half squares = 4 2 = 1

Therefore, total area of the figure = 4 + 1 = 5 sq units.

(l) Fully filled squares = 2
Area covered by full squares = 2 sq units,

More than half filled squares = 6
Estimated area covered by more than half squares = 6 sq units,

Less than half filled squares = 6
Estimated area covered by less than half square = 0 sq units,

Therefore, total area of the figure = 2 + 6 = 8 sq units.

(m) Fully filled squares = 5,
Area covered by full squares = 5 sq units,

More than half filled squares = 9,
Estimated area covered by more than half squares = 9 sq units,

Less than half filled squares = 12,
Area covered by less than half square = 0 sq units,

Therefore, total area of the figure = 5 + 9 = 14 sq units.

(n) Fully filled squares = 9,
Area covered by full squares = 9 sq units,

More than half filled squares = 9,
Area covered by more than half squares = 9 sq units,

Less than half filled squares = 8
Area covered by less than half square = 0 sq units,

Therefore, total area of the figure = 9 + 9 = 18 sq units.

NCERT SOLUTIONS CLASS 6 MATHS CHAPTER 10 Mensuration

Check NCERT Solutions of other exercises from Class 6 Maths Chapter 10 Mensuration by clicking the links given below.

• Exercise 10.1
• Exercise 10.2
• Exercise 10.3

We hope NCERT Solutions for Class 6 Maths Exercise 10.2 has helped you understand how to find are using squared paper.

Write in the comment section for any error or any solution related queries from the exercise. [ NCERT Solutions for Class 6 Maths Exercise 10.2 ]

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