Question

Two squares are similar. The

Answer 1

Answer:

The perimeter of the second square is 36 inches

Step-by-step explanation:

Given

Represent the sides of the squares with S1 and S2.

So:

$S_1:S_2 = 1 : 3$ --- Scale factor

$P_1 =12$ --- perimeter of the first

Required

Calculate P2, the perimeter of the second

Represent the ratios of the perimeter:

$Scale = P_1 : P_2$

Substitute 12 for P1

$Scale = 12 : P_2$

Equate both scale factors

$12 : P_2 = 1:3$

Convert to fraction

$\frac{12}{P_2} = \frac{1}{3}$

Cross multiply

$P_2 = 12 * 3$

$P_2 = 36$