To find the area of the four walls of the rectangular room, we need to know the length and width of the room. The perimeter of the floor gives us a clue to find these dimensions.
Let's assume the length of the room is L meters and the width is W meters.
The formula for the perimeter of a rectangle is:
Perimeter = 2(L + W)
Given that the perimeter of the floor is 20 meters:
20 = 2(L + W)
Now, let's solve for one of the variables in terms of the other:
L + W = 20 / 2 L + W = 10
Now, we need to find the area of the four walls. The room has four walls, two of which have the height of 8 meters, and the other two will have the same height.
The formula for the area of the four walls is:
Area of Four Walls = 2h(L + W)
where h is the height of the walls (8 meters in this case).
Substitute the value of L + W we found earlier:
Area of Four Walls = 2 * 8 * 10 Area of Four Walls = 160 square meters
So, the area of the four walls of the rectangular room is 160 square meters.