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a square room has a floor area of 36 square feet. the height of the room is 7 feet. what is the total area of all four walls

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Last updated by Harleen W #1303437
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To find the total area of all four walls, we need to first find the length of one side of the square room. Since the floor area is given as 36 square feet, we can find the side length by taking the square root of the area.

Side length = √Area = √36 = 6 feet

Now, we have the dimensions of the room: 6 feet by 6 feet, with a height of 7 feet. To find the total area of all four walls, we can calculate the area of each wall and multiply by 4. Each wall's area can be found by multiplying its height (7 feet) by the length of one side (6 feet).

Area of one wall = Height × Side length = 7 × 6 = 42 square feet

Since there are 4 walls, we can multiply the area of one wall by 4 to find the total area of all four walls.

Total area of all four walls = 4 × Area of one wall = 4 × 42 = 168 square feet

168 feet squared

Area of floor=( side)×( side)=36

Length of one side= 6 square feet

Area of one wall= length of one side × height

= 6×7=42 square feet

Total area of all four walls=Area of one wall×4= 42×4=168 square feet