Question
The area of a larger square is 16 times the area of the smaller square. How many times as long is the base of the larger square than the base of the smaller square?
Answers
Reiny
side of small square --- x
area of small square --- x^2
area of larger square = 16x^2
side of larger square = √(16x^2) = 4x
side of larger is 4 times the side of the smaller
notice that the areas of similar squares are proportional to the square of the their sides
area of small square --- x^2
area of larger square = 16x^2
side of larger square = √(16x^2) = 4x
side of larger is 4 times the side of the smaller
notice that the areas of similar squares are proportional to the square of the their sides