Question

Question 1

Follow ing figures are formed by joining six units squares. Which figure has the smallest perimeter in figures?

(i) (ii) (iii) (iv)

(a) (ii)

(b) (iii)

(c) (iv)

(d) (i)

Answer 1

(i) Let the square $\square$ = 1 unit

Then, perimeter = Sum of all sides

= 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1

= 10 units

(ii) Perimeter = Sum of all sides

= 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1+ 1

= 12 units

(iii) Perimeter = Sum of all sides

= 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1+ 1 + 1 + 1

= 14 units

(iv) Perimeter = Sum of all sides

= 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1+ 1 + 1 + 1

= 14 units

Hence, smallest perimeter = 10 units which is the perimeter of figure (i).