The perimeter of other polygon is 88 feet
Solution:
Given that,
Two polygons are similar
The perimeter of the smaller polygon is 66 feet
Ratio of the corresponding side lengths is [tex]\frac{3}{4}[/tex]
If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths
Let the perimeter of other polygon be "x"
Then, we get,
[tex]\frac{66}{x} = \frac{3}{4}\\\\\text{Cross multiply and solve for x}\\\\66 \times 4 = 3 \times x\\\\x = 22 \times 4\\\\x = 88[/tex]
Thus perimeter of other polygon is 88 feet