Answer:
side length of larger square = 24 meters
Step-by-step explanation:
the smaller square has an area of 256 square meters. the areas of the two squares have a ratio of 4:9
Area of smaller square to larger square ratio is 4:9
Let 'area' be the area of larger square
Lets make a proportion using the given ratio and area of smaller square

cross multiply it
4 area = 256 times 9
Divide both sides by 4

Area of larger square = 576 square meters
Are of square is (side )^2

Take square root on both sides
side = 24
side length of larger square = 24 meters