The area of a larger square is 16 times the area of a smaller square. How many times as long is the base of the larger square than the base of the smaller square?

Question

directrix · Answer

The two squares are similar.

Therefore, the ratio of the areas of the two squares is the square of the ratio of the sides.

16/1 = (base ratios)²

anonymous · Answer

4 times

becuase if two sides are in a raio of a:b, their areas is in the ratio of a^2:b^2

You are given the ratio of the areas is 16:1, so the sides are in the ratio of sqrt(16): sqrt(1), or 4:1

directrix · Answer

Solving this 16/1 = (base ratios)² for the base ratio gives a ratio of 4 to 1 from larger square base to the smaller.