Question

joe uses stick - on square carpet tiles to cover his 4 m×3 m bathroom. if each tile is 10 cm on a side, how many tiles does he need? joe needs □ tiles.

Explanation:

Step1: Calculate the area of the bathroom

The area formula for a rectangle is \(A = l\times w\). The bathroom has length \(l = 4m\) and width \(w = 3m\). So, \(A_{bathroom}=4\times3=12m^{2}\). Since \(1m = 100cm\), then \(1m^{2}=(100cm)\times(100cm)=10000cm^{2}\). So, \(A_{bathroom}=12\times10000 = 120000cm^{2}\).

Step2: Calculate the area of one tile

The area formula for a square is \(A = s\times s\) (where \(s\) is the side - length). Each tile has \(s = 10cm\). So, \(A_{tile}=10\times10=100cm^{2}\).

Step3: Calculate the number of tiles

The number of tiles \(n=\frac{A_{bathroom}}{A_{tile}}\). Substitute \(A_{bathroom}=120000cm^{2}\) and \(A_{tile}=100cm^{2}\) into the formula. \(n=\frac{120000}{100}=1200\).

Answer:

\(1200\)