Question

The ratio of the areas of two similar polygons is 400:25. what is the ratio of their corresponding sides

Answer 1

The ratio of areas is given by:
 A1 / A2 = 400/25 = k ^ 2
 Therefore, the relationship of the sides is given by:
 L1 / L2 = k
 Clearing k we have:
 k = root (400/25)
 Rewriting we have:
 L1 / L2 = k = 20/5
 Answer:
 The ratio of their corresponding sides is:
 20: 5

Answer 2

Answer: 16:1

simplify 400:25 by dividing 400 by 25, which is 16.