Question

The patio of a house is covered with tiles that have a surface of 60 cm² each. If the patio has a surface of 15m², how many tiles cover the floor?

a) 2500
b) 1500
c) 1000
d) 500

Answer 1

To find how many 60 cm² tiles are needed to cover a 15 m² patio, convert the patio area to cm² (15 m² = 150,000 cm²) and divide by the area of one tile. This results in 2500 tiles needed to cover the patio.

Step-by-step explanation:

The question involves calculating the number of tiles needed to cover a given area. We start by understanding the surface area of each tile and the total surface area of the patio. Since one tile has an area of 60 cm², and the patio has an area of 15 m², we must first convert the patio area to cm² because the units should match for accurate calculation.

To convert the area from square meters to square centimeters, we use the conversion factor: 1 m² = 10,000 cm².

Therefore, the patio's area in cm² is:

15 m² x 10,000 cm²/m² = 150,000 cm²

Now we can calculate the number of tiles:

150,000 cm² ÷ 60 cm²/tile = 2500 tiles

The correct answer to the question is a) 2500 tiles.