Final answer:
The area of the driveway is 48m^2, and the man needs to buy 4 bags of gravel to cover his driveway, since each bag covers 14m^2.
Step-by-step explanation:
The area of the driveway can be calculated by determining the shape of the driveway, which is rectangular, given the dimensions in the question. To calculate the area of a rectangle, we multiply its length by its width. The dimensions provided are 8 meters in length and 6 meters in width.
Area = Length × Width = 8m × 6m = 48m2
Each bag of gravel covers 14m2. To find out how many bags are needed, we divide the total area by the area covered by one bag:
Bags of Gravel = Total Area / Area per Bag = 48m2 / 14m2
The result is between 3 and 4, meaning the man needs to buy 4 bags of gravel since you cannot purchase a fraction of a bag. Thus, he must round up to the nearest whole number.