Two p polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of the corresponding side lengths is (1)/(6) Find the perimeter of the other polygon. The perimeter of the other polygon is __ yards. square disappointed

To solve this problem, we need to find the perimeter of the smaller polygon.<br /><br />Given information:<br />- The perimeter of the larger polygon is 120 yards.<br />- The ratio of the corresponding side lengths is $\frac{1}{6}$.<br /><br />Since the polygons are similar, the ratio of the perimeters will be the same as the ratio of the corresponding side lengths.<br /><br />Let's denote the perimeter of the smaller polygon as $P$.<br /><br />We can set up a proportion to find the perimeter of the smaller polygon:<br /><br />$\frac{P}{120} = \frac{1}{6}$<br /><br />Cross-multiplying, we get:<br /><br />$6P = 120$<br /><br />Dividing both sides by 6, we get:<br /><br />$P = 20$<br /><br />Therefore, the perimeter of the smaller polygon is 20 yards.