Question

36 square tiles of area 1 sq. m are to be arranged in a rectangular manner, what can be the minimum perimeter of the shape formed?

• A. 6
• B. 24
• C. 26
• D. 36

Answer 1

The correct option is B 24

Total area of the square tiles
= 36 x 1 = 36 sq. m​
The dimensions of different rectangles formed with the area 36 sq. m are
1 $\times$ 36, 2 $\times$ 18, 3 $\times$ 12, 4 $\times$ 9, 6 $\times$ 6.​

For minimum perimeter of the formed shape(rectangle), the difference between the measure of the adjacent sides should be minimum. ​
For this case, the measure of the length and the breadth will be equal.​
The length and breadth of the rectangle should be 6 m.​

Perimeter of the rectangle = 6 + 6 + 6 + 6 = 24 m​