Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

If a man’s backyard is 75 meters long and 50 meters wide, how many bags of fertilizer does he need to buy if each bag covers 200 square meters?

1. 10

2. 15

3. 19

4. 20

The correct answer is: 19

To determine how many bags of fertilizer the man needs to buy, we must first calculate the area of his backyard. The area of a rectangle is calculated by multiplying its length by its width. In this scenario, the backyard has dimensions of 75 meters in length and 50 meters in width. Therefore, the area is: Area = Length × Width = 75 meters × 50 meters = 3750 square meters. Next, we need to figure out how many bags of fertilizer are required to cover this area. Each bag covers 200 square meters, so we divide the total area of the backyard by the coverage of one bag: Number of bags = Total Area / Area covered by one bag = 3750 square meters / 200 square meters per bag = 18.75 bags. Since you cannot purchase a fraction of a bag, you would need to round up to the nearest whole number, which is 19 bags. This means purchasing 19 bags will ensure the entire area is covered adequately. Thus, the correct choice indicates that he needs to buy 19 bags of fertilizer to cover the entire area of the backyard.