Two p polygons are similar. The perimeter of the smaller polygon is 48 centimeters and the ratio of the corresponding side lengths is (2)/(3) Find the perimeter of the other polygon. The perimeter of the other polygon is __ centimeters. square

To problem, we need to find the perimeter of the larger polygon based on the given information.<br /><br />Given information:<br />- The perimeter of the smaller polygon is 48 centimeters.<br />- The ratio of the corresponding side lengths is $\frac{2}{3}$.<br /><br />Let's denote the perimeter of the larger polygon as $P$.<br /><br />Since the polygons are similar, the ratio of their corresponding side lengths is equal to the ratio of their perimeters.<br /><br />Therefore, we can write the equation:<br /><br />$\frac{P}{48} = \frac{3}{2}$<br /><br />Solving this equation for $P$, we get:<br /><br />$P = 48 \times \frac{3}{2} = 72$ centimeters.<br /><br />Therefore, the perimeter of the larger polygon is 72 centimeters.