Question

One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the perimeter of the smaller polygon to the larger is 2/1 1/2 1/4

Answer 1

The ratio of the smaller to the larger is given as 2:4. Another way to write this is as a fraction:
`(2)/(4)` which of course you can see now will reduce to
`(1)/(2)`. That's your ratio.

Answer 2

The ratio of the perimeter of the smaller polygon to the larger is:

1/2

Explanation:

Two polygons are said to be similar if each of the corresponding angles and each of the corresponding sides of the two polygon are in same proportion.

Also, the ratio of perimeters of the two similar polygon is equal to the ratio of the side lengths of two polygons.

i.e. if a and b are corresponding sides lengths of two polygons respectively.

then the ratio of their perimeters is: a:b

Here the side length of small polygon is: 2 feet

and the corresponding side length of the large polygon is: 4 feet.

Then ratio of the perimeter of the smaller polygon to the larger is:

2:4 i.e. 1:2 i.e. 1/2