Question

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

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

Answer 1

The correct option is B

$26units$

Finding the perimeter of triangle:

Area of rectangle $=36unit{s}^2$

$36$ can be written as $=6\times 6$

$$\begin{gathered} =(2\times 3)\times (2\times 3) \\ =2^2\times 3^2 \\ =4\times 9 \end{gathered}$$

Then, the sides of the rectangle are $4cm$ and $9cm$.

We know that, the perimeter of the rectangle $=2(l+b)$

$$\begin{gathered} =2(4+9) \\ =2\left(13\right) \\ =26units \end{gathered}$$

Hence, the correct option is B.