## 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 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:

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.

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 ]