By finding the ratio between the side lengths, we will see that the side length of the larger square is 50m.
First, remember that the area of a square is given by its side length squared.
Then, if the ratio between the areas of two squares is:
25 to 9
The ratio between its side lengths will be:
√25 to √9
5 to 3
This means that the larger square has a side length equal to (5/3) times the side length of the smaller square, which we know is equal to 30 meters.
Then we have:
S = (5/3)*30m = 50m
The side length of the larger square is 50m
If you want to learn more about ratios, you can read:
https://brainly.com/question/16981404