Answer:
Perimeter of the other polygon is 88 feet.
Step-by-step explanation:
We are given that, 'Two polygons are similar'.
Also, the perimeter of the smaller polygon is 66 feet and the ratio of the corresponding side lengths is [tex]\frac{3}{4}[/tex].
As, we know,
'If two polygons are similar, the ratio of their perimeters is equal to the ratio of their side lengths'.
Thus, we have,
Let, the perimeter of the other polygon = x feet.
[tex]\frac{3}{4}=\frac{66}{x}[/tex]
i.e. [tex]x=\frac{66\times 4}{3}[/tex]
i.e. [tex]x=\frac{264}{3}[/tex]
i.e. x= 88 feet
Thus, the perimeter of the other polygon is 88 feet.
