In a rectangular parallelepiped, the length and width are 8m and 2m, and the sum of the areas of all its edges is 132m2

In a rectangular parallelepiped, the length and width are 8m and 2m, and the sum of the areas of all its edges is 132m2. find the sum of the lengths of all the edges of the parallelepiped.

Determine the height of the specified rectangular parallelepiped (denoting it through the variable x), knowing by the condition of the problem that the sum of the areas of all its faces is 132m2, with a length equal to 8 meters and a width equal to 2 meters:

2 * 8 * 2 + 2 * 8x + 2 * 2x = 132;

16x + 4x = 132 – 32;

20x = 100;

x = 5.

Let us determine the sum of the lengths of all edges of the specified rectangular parallelepiped, knowing that it is, by definition, equal to the sum of its measurements multiplied by four:

4 * (8 + 2 + 5) = 60.

Answer: The sum of the edges is 60 m.