Tomas drew a rectangle with an area of 6 square centimeters. what is the greatest possible perimeter for this rectangle?

In order for the rectangle to have an area of 6 cm^2, Tomas could have drawn it with one of two side length possibilities. He could either have drawn a rectangle with a length of 6 and a width of 1, or a rectangle with a length of 3 and a width of 2.

To find perimeter, you just add up all side lengths together, so let's compare the two options to find out which one has a greater perimeter.

Let's try the first option first.

That would be 6 + 6 + 1 + 1, which is 14.

Let's try the other one.

3 + 3 + 2 + 2 = 10

The first option (width 1, length 6) would yield the greatest perimeter.
Hope that helped! =)