If the ratio of the areas of two squares is 8:25 and the side of the smaller square measures 28 cm, find the area of the bigger square?

1 answer

The areas of similar objects are proportional to the square of their corresponding sides.

so 28 : x = √8 : √25
28/x = 2√2/5
2√2x = 140
x = 70/√2 or 35√2