Question

36 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is :

• A. 26 units
• B. 24 units
• C. 36 units
• D. 12 units

Answer 1

The correct option is A

26 units

There are 36 squares.

To form a rectangle , we first need to check the factors of 36 which can make up a rectangle.

We have :

6 * 6 = 36 ; This will form a square.

18 * 2 = 36 ; The perimeter of this rectangle will be 18 + 18 + 2 + 2 = 40

12 * 3 = 36 ; The perimeter of this rectangle will be 12 + 12 + 3 + 3 = 30

9 * 4 = 36 ; The perimeter of this rectangle will be 9 + 9 + 4 + 4 = 26. This is the least which is possible. All other combinations give a higher value.