Question

Question 59

Find the area and perimeter of each of the following figures, if area of each small square is 1 sq cm.

Answer 1

(i) In the given figure, there are 11 small squares.

Given, area of 1 small square = 1 sq cm

[$\because$ area of square= side$\times$side]

$\because$ Area of 11 small squares = 11$\times$Area of a small square

= 11$\times$1 sq cm

= 11 sq cm

Also, side of a small square = 1 cm

Now, perimeter of the given figure = Sum of all its sides

= (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) cm

= 18 cm

(ii) In the given figure, there are 13 small squares.

Given, area of 1 small square = 1 sq cm

$\because$ Area of 13 small squares = 13$\times$Area of a small square

= 13$\times$1 sq cm

= 13 sq cm

Also, side of a small square = 1 cm

Now, perimeter of the given figure = Sum of all its sides

= (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) cm

= 27 cm

(iii) In the given figure, there are 13 small squares.

Given, area of 1 small square = 1 sq cm

$\because$ Area of 13 small squares = 13$\times$Area of a small square

= 13$\times$1 sq cm

= 13 sq cm

Also, side of a small square = 1 cm

Now, perimeter of the given figure = Sum of all its sides

= (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) cm

= 28 cm