Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

A man is going to fertilize his backyard which is 75 meters long and 50 meters wide. If each bag of fertilizer can cover an area of 200 square meters, how many bags of fertilizer will he need to purchase?

1. 19 bags

2. 15 bags

3. 25 bags

4. 10 bags

The correct answer is: 19 bags

To determine how many bags of fertilizer the man will need, first, you need to calculate the total area of the backyard. The area of a rectangle is calculated by multiplying the length by the width. In this case, the calculations are as follows: 1. **Calculate area**: - Length = 75 meters - Width = 50 meters - Area = Length × Width = 75 m × 50 m = 3750 square meters. Next, you divide the total area of the backyard by the area each bag of fertilizer can cover to find out how many bags are necessary. 2. **Determine bags needed**: - Area covered by one bag = 200 square meters. - Number of bags required = Total area / Area per bag = 3750 m² / 200 m² = 18.75. Since it's not practical to purchase a fraction of a bag, you would round up to the nearest whole number. Therefore, the man will need to purchase 19 bags of fertilizer to ensure that he has enough to cover the entire backyard. This is why 19 bags is the correct answer, as it accounts for the total area needing coverage while factoring in the coverage capacity