Choose a random point in the area you want to measure. Place your two meter sticks down on the ground, perpendicular to each other, so that they form a cross. They now form the four quadrants that will be used for measurement.
Measure the distance from the center of the cross to the closest weed in each quadrant and copy the measurement down into your notebook. Your notebook might look like this: Quadrant 1: 0.7 m; Q2: 0.6 m; Q3: 0.3 m; Q4: 0.4 m.
Add the four distances and divide by four to get the average distance. In the example (0.7 m + 0.6 m + 0.3 m + 0.4 m)/4 = 0.5 m.
Divide the area of the plot (1 m x 1 m) by the average distance squared to get the plant density. In the example, (1m^2)/((0.5m)^2) = 4 plants per square meter.