To determine the cost of tiling per square metre for Wendy's kitchen floor, let's follow these steps:
1. Determine the area of the kitchen floor:
The kitchen floor is rectangular with a length of 6 meters and a width of 4 meters. To find the area of the rectangle, you multiply the length by the width:
[tex]\[
\text{Area} = \text{Length} \times \text{Width}
\][/tex]
Substituting the given dimensions:
[tex]\[
\text{Area} = 6 \, \text{m} \times 4 \, \text{m} = 24 \, \text{square metres}
\][/tex]
2. Determine the total cost of tiling:
Wendy paid [tex]$768 to tile the entire kitchen floor.
3. Calculate the cost per square metre:
To find the cost of tiling per square metre, you divide the total cost by the area of the floor:
\[
\text{Cost per square metre} = \frac{\text{Total cost}}{\text{Area}}
\]
Substituting the known values:
\[
\text{Cost per square metre} = \frac{768 \, \text{dollars}}{24 \, \text{square metres}} = 32 \, \text{dollars per square metre}
\]
Therefore, the cost of tiling per square metre for Wendy's kitchen floor is $[/tex]32.