Question

Mrs barker wants to tile her washroom floor. The area of the washroom floor is 6.75 square metres. She determines that she will use 300 square tiles. What are the dimensions of the tiles, in centimetres?

Answer 1

15 centimeters

Step-by-step explanation

First, we have to find the area of the washroom floor in square centimeters, by multiplying the area in square meters by 10,000 or, in other words, moving the decimal point 4 units to the right,

`6.75m^2=6.75*10,000cm^2=67,500cm^2`

Now, we know that Mrs. Barker will use 300 square tiles, so the area of each tile must be,

`A_(tile)=\frac{A_(floor)}{number\text{ }of\text{ }tiles}=(67,500cm^2)/(300)=225cm^2`

Thus, if the tiles are squared, the side length of each tile is the square root of the area of each tile,

`s=\sqrt{A_(tile)}=√(225cm^2)=15cm`

Hence, the side length of each tile is 15 cm.