The area of the larger of two similar polygons is 315 squared centimeters. If the scale factor of their perimeters is 2:3 what is the area of the smaller polygon?

Answer 1

the areas of similar figures are proportional to the square of their corresponding sides

let the area of the smaller be x
x/315 = 2^2/3^2 = 4/9
9x = 1260
x = 1260/9 = 140