Final answer:
The total cost for flooring a playground of 9m by 15m, excluding a lawn area of 3m by 4m, at a cost of £ 36 per square meter is £ 4428.
Step-by-step explanation:
The question requires us to calculate the total cost for flooring a playground, with certain areas excluded (in this case, a lawn). The playground has dimensions of 9m by 15m, while the lawn inside it has dimensions of 3m by 4m. The flooring costs £ 36 per square meter. Firstly, we need to calculate the area of the playground and the lawn.
The area of the playground = length × width = 9m × 15m = 135 square meters.
The area of the lawn = 3m × 4m = 12 square meters.
Now, to find the area that needs to be covered with flooring, we subtract the area of the lawn from the area of the playground:
Area for flooring = Area of playground - Area of lawn = 135m² - 12m² = 123m².
Finally, to find the total cost, we multiply the area for flooring by the cost per square meter:
Total cost for flooring = Area for flooring × cost per square meter = 123m² × £ 36/m² = £ 4428.
Thus, the total cost for flooring the playground, excluding the lawn, is £ 4428.