Question 19.37

7. The geometric mean has interpretations in both arithmetic and geometry.

  1. Find the geometric mean of 3 and 27.
  2. Find the length of a side of a square that has the same area as a rectangle that is 4 by 64.
  3. You are to make a golden rectangle with 6 inches of string. How long should it be, and how wide?

7.

(a) 9

(b) 16

(c) Length , width ; or vice versa.