Final answer:
To tile the space, you need to calculate the area of the floor (588 sq ft) and the walls (490 sq ft for the long walls, and 210 sq ft for the short walls), totaling 1078 square feet of tile needed.
Step-by-step explanation:
To find out how many square feet need to be tiled for a rectangular area that is 28 feet long, 21 feet wide, and 5 feet deep, we only need to calculate the area of the floor and walls that need tiling, since typically the depth does not affect tiling on a flat surface.
The area of the floor is simply the length times the width:
Area of floor = Length × Width = 28 ft × 21 ft = 588 square feet.
Now, for the walls, each pair of opposite walls will have the same area. Two walls will be 28 feet long and 5 feet high, while the other two walls will be 21 feet long and 5 feet high:
- Area of long walls = 2 × (Length × Height) = 2 × (28 ft × 5 ft) = 280 square feet.
- Area of short walls = 2 × (Width × Height) = 2 × (21 ft × 5 ft) = 210 square feet.
To find the total area to be tiled, add the area of the floor to the combined area of the walls:
Total area to tile = Area of floor + Area of long walls + Area of short walls = 588 ft² + 280 ft² + 210 ft² = 1078 square feet.
Therefore, 1078 square feet of tile will be needed to cover the described space.