The area of a rectangular flower bed is 24 m2. what can be the perimeter

The area of a rectangular flower bed is 24 m2. what can be the perimeter of a flower bed if its length and width are an integer number of meters?

At the very beginning, we will decompose the value of the area of the flower bed into prime factors. As a result, we get:

24 = 2 * 12 = 2 * 2 * 6 = 2 * 2 * 2 * 3.

Based on the decomposition, we will compose a list of possible options for the lengths of the sides of a rectangular flower bed, taking into account that its area is 24 m 2:

1) 24 m and 1 m;
2) 12 m and 2 m;
3) 8 m and 3 m;
4) 6 m and 4 m.

Now let’s calculate the perimeter of the flower bed for each option:

1) P = 2 * (24 + 1) = 50 (m);
2) P = 2 * (12 + 2) = 28 (m);
3) P = 2 * (8 + 3) = 22 (m);
4) P = 2 * (6 + 4) = 20 (m).