Two squares are drawn. the smaller square has an area of 256 square meters. the areas of the two squares have a ratio of 4: 9.what is the side length s of the larger square.

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

26

step-by-step explanation: