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

14 cm

Explanation:
We know that the area of the rectangle is calculated as:
area = length * width

We also know that the area is 6 cm²

This means that multiplying the length and width would give us 6

6 can be obtained as follows:
6 = 1 * 6 = 2 * 3

Let's check each:
If the length and width were 1 and 6:
perimeter = 2(length + width)
perimeter = 2(1+6)
perimeter = 2 * 7
perimeter = 14 cm

If the length and width were 1 and 3:
perimeter = 2(length + width)
perimeter = 2(2+3)
perimeter = 2 * 5
perimeter = 10 cm

By comparing, we can note that:
the largest possible perimeter is 14 cm

Hope this helps :)

The answer is 14 :

To find out the greatest sum of a number's possible factors you must choose those which are furthest from each other, in this case :  6 and 1 are the furthest. The length of long side of the rectangle is : 6 and the short side is 1. Lets calculate its perimeter : 

The greatest possible perimeter is 14