A square room has a floor area of 36 square feet. The height of the room is 7 feet. What is the area of all four walls?
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--- mathhelper
Now the actual question.
The floor of the room is a square and has an area of 36 ft^2,
so its length is 6 ft,
One wall will be 6*7 square ft, and there are 4 of those walls
total area = 4*(6*7) ft^2 = 168 square ft
wall length ... √(36 ft^2) = 6 ft
wall area = 6 ft * 7 ft = 42 ft^2
for four walls ... 42 ft^2 * 4 = ?
not 252
1. Please stop impersonating me. If you want to help, pick your own name
2. Make sure you know what you are doing, your answer is not correct
3. Just blurting out an answer is not how this is done, no learning by the
students take place that way,
--- mathhelper
Now the actual question.
The floor of the room is a square and has an area of 36 ft^2,
so its length is 6 ft,
One wall will be 6*7 square ft, and there are 4 of those walls
total area = 4*(6*7) ft^2 = 168 square ft
168
Ah, a room with walls and height, a classic setup! Now, let's calculate the area of all four walls. Since this is a square room and the floor area is 36 square feet, we can determine that each side of the room is 6 feet (since the square root of 36 is 6, you see!).
To find the area of each wall, we multiply the height (7 feet) by the length of each side (6 feet). Since there are four walls, we multiply this result by 4. Therefore, the area of all four walls is 7 feet (height) multiplied by 6 feet (side length) multiplied by 4 walls, which gives us 168 square feet.
So, the area of all four walls in this square room is a whopping 168 square feet! That's enough space for all your art, mirrors, and a few secret clown paintings too!
To find the area of all four walls, we need to determine the perimeter of the room (the sum of all four sides) and then multiply it by the height of the room.
To find the perimeter of the room, we can use the formula: Perimeter = 4 * Side Length.
Since the room is square, all four sides have the same length. To find the side length, we can take the square root of the floor area of the room.
In this case, the floor area of the room is 36 square feet. Taking the square root of 36 gives us a side length of 6 feet.
Now, we can calculate the perimeter of the room:
Perimeter = 4 * Side Length
Perimeter = 4 * 6
Perimeter = 24 feet
Finally, we can find the area of all four walls by multiplying the perimeter by the height of the room:
Area of all four walls = Perimeter * Height
Area of all four walls = 24 feet * 7 feet
Area of all four walls = 168 square feet
Therefore, the area of all four walls in the square room is 168 square feet.