Question
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?
Answers
Reiny
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
so 28 : x = √8 : √25
28/x = 2√2/5
2√2x = 140
x = 70/√2 or 35√2