Since the area of the rectangle is 6 square centimeters, you just think of multiples of 6. These multiples will give possible lengths for the rectangle.
Possible multiples include:
1&6
2&3
Then you just find the perimeter of the rectangle with your possible side lengths
So let's start with: 1&6
So two of the side lengths are 1
And the other two side lengths are 6
So you would just find the sum of the four side lengths to find the perimeter
1 + 1 + 6 + 6 = 14
Now let's try 2&3
Two of the side lengths are 2
The other two side lengths are 3
Now to find the perimeter just add up the four side lengths
2 + 2 + 3 + 3 =10
Now compare the two perimeters
Which is bigger? 14? Or 10?
Since fourteen is bigger than the greatest possible perimeter for the rectangle is 14cm
