## MP Board Class 6th Maths Solutions Chapter 10 Mensuration Ex 10.2

Question 1.

Find the areas of the following figures by counting square:

Solution:

(a) Number of filled squares = 9

∴ Area covered by filled squares

= (9 × 1) sq units = 9 sq units

(b) Number of filled squares = 5

∴ Area covered by filled squares

= (5 × 1) sq units = 5 sq units

(c) Number of fully-filled squares = 2

Number of half-filled squares = 4

∴ Area covered by fully-filled squares

= (2 × 1) sq units = 2 sq units

Area covered by half-filled squares

= (4 × \(\frac{1}{2}\)) sq units = 2 sq units

∴ Total area = (2 + 2) sq units = 4 sq units

(d) Number of filled squares = 8

∴ Area covered by filled squares

= (8 × 1) sq units = 8 sq units

(e) Number of filled squares = 10

∴ Area covered by filled squares

= (10 × 1) sq units = 10 sq units

(f) Number of fully-filled squares = 2

Number of half-filled squares = 4

∴ Area covered by fully-filled squares

= (2 × 1) sq units = 2 sq units

Area covered by half-filled squares

= (4 × \(\frac{1}{2}\)) sq units = 2 sq units

∴ Total area = (2 + 2) sq units = 4 sq units

(g) Number of fully-filled squares = 4

Number of half-filled squares = 4

∴ Area covered by fully-filled squares

= (4 × 1) sq units = 4 sq units

Area covered by half-filled squares

= (4 × \(\frac{1}{2}\)) sq units = 2 sq units

∴ Total area = (4 + 2) sq units = 6 sq units

(h) Number of filled squares = 5 .

∴ Area covered by filled squares

= (5 × 1) sq units = 5 sq units

(i) Number of filled squares = 9

∴ Area covered by filled squares

= (9 × 1) sq units = 9 sq units

(j) Number of fully-filled squares = 2

Number of half-filled squares = 4

∴ Area covered by fully-filled squares

= (2 × 1) sq units = 2 sq units

Area covered by half-filled squares

= (4 × \(\frac{1}{2}\)) sq units = 2 sq units

∴ Total area = (2 + 2) sq units = 4 sq units

(k) Number of fully-filled squares = 4

Number of half-filled squares = 2

∴ Area covered by fully-filled squares

= (4 × 1) sq units = 4 sq units

Area covered by half-filled squares

= (2 × \(\frac{1}{2}\)) sq units = 1 sq units

∴ Total area = (4 + 1) sq units = 5 sq units

(l) Number of fully-filled squares = 3,

Number of half-filled squares = 2,

Number of more than half-filled squares = 4

and number of less than half-filled squares = 4.

Now, estimated area covered by

fully-filled squares = 3 sq units,

half-filled squares = (2 × \(\frac{1}{2}\)) sq units

= 1 sq unit,

more than half-filled squares = 4 sq units

and less than half-filled squares

= 0 sq unit

∴ Total area = (3 + 1 + 4 + 0) sq units

= 8 sq units.

(m) Number of fully-filled squares = 7,

Number of more than half-filled squares = 7

and number of less than half-filled squares = 5

Estimated area covered by

fully-filled squares = 7 sq units,

more than half-filled squares = 7 sq units

and less than half-filled squares = 0 sq unit

∴ Total area = (7 + 7 + 0) sq units = 14 sq units

(n) Number of fully-filled squares = 10,

Number of more than half-filled squares = 8

and number of less than half-filled squares = 5

Estimated area covered by

fully-filled squares = 10 sq units,

more than half-filled squares = 8 sq units

less than half-filled squares = 0 sq unit

∴ Total area = (10 + 8 + 0) sq units

= 18 sq units.