Question

A regular pentagon has a perimeter of 25 m and an area of 43.75 m^2. find the perimeter of a similar pentagon with an area of 175m^2

Answer 1

hmm I think the answer is 50m.
Area ratio => 43.75:175 = 1:4
Theory of similar polygon: The area ratio is the squares of the side ratio
so, side length ratio => sqrt(1): sqrt(4) = 1:2
the side length of the similar pentagon is 2x5=10
so it's permeter is 50m