Square B is 4 : 9 how many yards

Question

The ratio of the side length of Square A to the side length of Square B is 4 : 9. The side length of Square A is 12 yards. What is the perimeter of Square B

Answer 1

Set up a proportion: S_A : S_B = 4:9 or in fractional form: S_A/S_B = 4/9

Cross-multiply: 9S_A = 4S_B

Then S_B = (9/4)S_A

If S_A = 12 yds, then S_B = (9/4)12 = 27 yds and the perimeter of B = 4(27) = 108 yds (squares have 4 equal sides).

Check: If Square A has side of 12 yds, its perimeter is 12 x 4 = 48 yds. The respective perimeters will be in the same relationship as the sides. 108/48 is 9/4, as specified.

Could also do the proportion in terms of the perimeters of each square: 48/P_B = 4/9, etc.