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. Two pentagons are similar. Their sides are in a ratio of 7:2. If the larger pentagon has a perimeter of 28 in., find the perimeter of the smaller pentagon.

Respuesta :

Answer:

8 in

Step-by-step explanation:

The ratio of sides and perimeter in similar figures are equal.

let x be the perimeter of the smaller figure, then by proportion

[tex]\frac{7}{28}[/tex] = [tex]\frac{2}{x}[/tex] ( cross- multiply )

7x = 56 ( divide both sides by 7 )

x = 8

The perimeter of the smaller pentagon is 8 in

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