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In a certain hexagon, the two shortest sides have the same length. The length of each remaining side is 2 inches more than the length of each shortest side. The perimeter of the hexagon is 38 inches. What are the lengths of the sides of the hexagon?

Respuesta :

Answer:

length of the shortest side = 5 inches

length of the longest side is 7 inches

Step-by-step explanation:

Hexagon has 6 sides

Let x be the shortest side

length of the longest side is x+2

there are 2 shortest sides and 4 longest sides

To find perimeter we add all the sides

[tex]Perimeter = 2(x) + 4(x+2)[/tex]

[tex]38= 2(x) + 4x+8[/tex]

[tex]38=6x+8[/tex]

Subtract 8 from both sides

[tex]30=6x[/tex]

divide both sides by 6

x=5

length of the shortest side = 5 inches

length of the longest side is 7 inches

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