Question

How many square tiles of side 10cm each will be needed to tile a floor which is 300cm long and 150cm wide?

Answer 1

Step 1

Find the area of one tile

we know that

the area of a square is

$A=b^{2}$

where b is the length side of the square

In this problem

$b=10\ cm$

Substitute

$A=10^{2}=100\ cm^{2}$

Step 2

Find the area of the floor

The area of a rectangle is equal to

$A=LW$

where

L is the length of the rectangle

h is the width of the rectangle

In this problem

$L=300\ cm$

$W=150\ cm$

Substitute

$A=300*150=45,000\ cm^{2}$

Step 3

Find the number of tiles needed

by proportion

$\frac{1}{100} \frac{tile}{\ cm^{2}} =\frac{x}{45,000} \frac{tile}{\ cm^{2}} \\ \\x=45,000/100 \\ \\x=450 \ tiles$

therefore

the answer is

$450 \ tiles$