Respuesta :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The given two polygons are similar to one another ~

Sides of the given polygons are in ratio of :

[tex]\qquad \sf  \dashrightarrow \: 28 : 4[/tex]

to put in simple Ratio ~

[tex]\qquad \sf  \dashrightarrow \: 7: 1[/tex]

So, the sides of the larger polygon are :

  • 4 × 7 = 28

  • 6 × 7 = 42

  • 3 × 7 = 21

  • 4 × 7 = 28

  • 7 × 7 = 49

  • 3 × 7 = 21

  • 3 × 7 = 21

  • 4 × 7 = 28

Now, to find the Perimeter of larger polygon ~ add the side length of all sides :

[tex]\qquad \sf  \dashrightarrow \:p = 28 + 42 + 21 + 28 + 49 + 21 + 21 + 28[/tex]

[tex]\qquad \sf  \dashrightarrow \:238 \: \: units[/tex]