Question

Following figures are formed by joining six unit squares. Which figure has the smallest perimeter in the following figure?

Options

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• 

• 

• 

Answer 1

Explanation:

 (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).