These NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Ex 10.2 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 6 Maths Chapter 10 Mensuration Exercise 10.2

Question 1.

Find the areas of the following figures by counting square:

Answer:

(a) Number of filled square = 9

∴ Area covered by squares = 9 × 1 = 9 sq. units

(b) Number of filled squares = 5

∴ Area covered by filled squares = 5 × 1 = 5 sq. units

(c) Number of full filled squares = 2

Number of half-filled squares = 4

∴ Area covered by full filled squares = 2 × 1 = 2 sq. units

And Area covered by half-filled squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units

∴ Total area = 2 + 2 = 4 sq. units

(d) Number of filled squares = 8

∴ Area covered by filled squares = 8 × 1 = 8 sq. units

(e) Number of filled squares = 10

∴ Area covered by filled squares = 10 × 1 = 10 sq. units

(f) Number of full filled squares = 2

Number of half-filled squares = 4

∴ Area covered by full filled squares = 2 × 1 = 2 sq. units

And Area covered by half-filled squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units

∴ Total area = 2 + 2 = 4 sq. units

(g) Number of full filled squares = 4

Number of half-filled squares = 4

∴ Area covered by full filled squares = 4 × 1 = 4 sq. units

And Area covered by half-fille squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units

∴ Total area = 4 + 2 = 6 sq. units

(h) Number of filled squares = 5

∴ Area covered by filled squares = 5 × 1 = 5 sq. units

(i) Number of filled squares = 9

∴ Area covered by filled squares = 9 × 1 = 9 sq. units

(j) Number of full filled squares = 2

Number of half-filled squares = 4

∴ Area covered by full filled squares = 2 × 1 = 2 sq. units

And Area covered by half-fille squares = 4 × \(\frac { 1 }{ 2 }\) = 2 sq. units

∴ Total area = 2 + 2 = 4 sq. units

(k) Number of full filled squares = 4

Number of half-filled squares = 2

∴ Area covered by full filled squares = 4 × 1 = 4 sq. units

And Area covered by half-filled squares = 2 × \(\frac { 1 }{ 2 }\) = 1 sq. units

∴ Total area = 4 + 1 = 5 sq. units

(l) Number of full filled squares = 3

Number of half-filled squares = 10

∴ Area covered by full filled squares = 3 × 1 = 3 sq. units

And Area covered by half-filled squares = 10 × \(\frac { 1 }{ 2 }\) = 5 sq. units

∴ Total area = 3 + 5 = 8 sq. units

(m) Number of full filled squares = 7

Number of half-filled squares = 14

∴ Area covered by full filled squares = 7 × 1 = 7 sq. units

And Area covered by half-filled squares = 14 × \(\frac { 1 }{ 2 }\) = 7 sq. units

∴ Total area = 7 + 7 = 14 sq. units

(n) Number of full filled squares = 10 Number of half-filled squares = 16

∴ Area covered by full filled squares = 10 × 1 = 10 sq. units

And Area covered by half-filled squares = 16 × \(\frac { 1 }{ 2 }\) = 8 sq. units

∴ Total area = 10 + 8 = 18 sq. units