A rectangular floor of area 75.6 m2 is going to be tiled. Each tile is rectangular, and has an area of 400 cm2. An exact number of tiles can be put into the space. How many tiles will be needed?
400 cm^2 * 1 m/100 cm * 1 m/100 cm = 400/10,000 = 4/100 = 0.04m^2 per tile
0.04 n = 75.6
n = 1890 tiles
To find out how many tiles will be needed, we need to convert the units of area so that they are consistent.
The area of the floor is given in square meters (m²), and the area of each tile is given in square centimeters (cm²).
1 m² = 10,000 cm²
So, let's convert the area of the floor from square meters to square centimeters:
75.6 m² * 10,000 cm²/m² = 756,000 cm²
Now, we can divide the total area of the floor by the area of each tile to find out how many tiles will be needed:
756,000 cm² ÷ 400 cm²/tile = 1,890 tiles
Therefore, 1,890 tiles will be needed to cover the rectangular floor.
To find the number of tiles needed, we need to convert the units so that they are consistent.
1 m2 = 10000 cm2
So, the area of the floor in cm2 can be calculated as:
75.6 m2 * 10000 cm2/m2 = 756000 cm2
Now, we can find the number of tiles by dividing the total area of the floor by the area of each tile:
756000 cm2 / 400 cm2 = 1890
Therefore, 1890 tiles will be needed to tile the rectangular floor.