Question

a polygon has an area of 225 square meters. A similar polygon is created with an area that is triple the first. By what factor is the length of each side increased?

Answer 1

The area of the original polygon is:
 A = 225 m ^ 2
 The similar polygon area is:
 A '= (k ^ 2) * (A)
 Substituting values:
 3 * 225 = (k ^ 2) * (225)
 Clearing k we have:
 k ^ 2 = 3
 k = (3) ^ (1/3)
 Answer:
 The length of each side increased by:
 k = (3) ^ (1/3)