Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test 2025 - Free AFCT Practice Questions and Study Guide

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.